P. Michor

发表

Uniqueness of the Fisher–Rao metric on the space of smooth densities

Martin Bauer, M. Bruveris, P. Michor, 2014, 1411.5577.

Riemannian Geometries on Spaces of Plane Curves

D. Mumford, P. Michor, 2003, math/0312384.

Natural operations in differential geometry

P. Michor, I. Kolář, J. Slovák, 1993 .

A Metric on Shape Space with Explicit Geodesics

D. Mumford, J. Shah, L. Younes, 2007, 0706.4299.

The Convenient Setting of Global Analysis

P. Michor, A. Kriegl, 1997 .

Denjoy–Carleman Differentiable Perturbation of Polynomials and Unbounded Operators

P. Michor, A. Kriegl, A. Rainer, 2009, 0910.0155.

REGULAR INFINITE DIMENSIONAL LIE GROUPS

P. Michor, A. Kriegl, 1998, math/9801007.

Mathematics unlimited-2001 and Beyond

P. Michor, 2005 .

Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds@@@Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds

D. Mumford, P. Michor, M. Micheli, 2012, 1202.3677.

VANISHING GEODESIC DISTANCE ON SPACES OF SUBMANIFOLDS AND DIFFEOMORPHISMS

D. Mumford, P. Michor, 2004, math/0409303.

An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach

D. Mumford, P. Michor, 2006, math/0605009.

Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds

D. Mumford, P. Michor, M. Micheli, 2013 .

Riemannian geometries on the space of plane curves

D. Mumford, P. Michor, 2003 .

Uniqueness of the Fisher-Rao metric on the space of smooth densities

Martin Bauer, M. Bruveris, P. Michor, 2014, 1411.5577.

Sobolev metrics on shape space of surfaces

Martin Bauer, P. Michor, P. Harms, 2010, 1211.3515.

$R$-transforms for Sobolev $H^2$-metrics on spaces of plane curves

Martin Bauer, M. Bruveris, P. Michor, 2013, 1311.3526.

GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES

D. Mumford, M. Bruveris, P. Michor, 2013, Forum of Mathematics, Sigma.

Choosing roots of polynomials smoothly

P. Michor, A. Kriegl, D. Alekseevsky, 1998, math/9801026.

Topics in Differential Geometry

P. Michor, 2008 .

On Euler's equation and 'EPDiff'

D. Mumford, P. Michor, 2013 .

Curvature weighted metrics on shape space of hypersurfaces in n-space ☆

Martin Bauer, P. Michor, P. Harms, 2011, 1102.0678.

Constructing reparametrization invariant metrics on spaces of plane curves

Martin Bauer, M. Bruveris, P. Michor, 2012, 1207.5965.

SOBOLEV METRICS ON SHAPE SPACE, II: WEIGHTED SOBOLEV METRICS AND ALMOST LOCAL METRICS

Martin Bauer, P. Michor, P. Harms, 2013 .

Why Use Sobolev Metrics on the Space of Curves

Martin Bauer, M. Bruveris, P. Michor, 2016 .

Encyclopaedia of Mathematics, Supplement III

Konrad Engel, Willy Govaerts, Francisco Marcellán, 2002 .

The action of the diffeomorphism group on the space of immersions

Peter W. Michor, P. Michor, V. Cervera, 1991 .

Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation

Martin Bauer, Martins Bruveris, Peter W. Michor, 2011 .

Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group

Martin Bauer, Martins Bruveris, Peter W. Michor, 2011 .

The Lagrangian Radon Transform and the Weil representation

P. Michor, Y. Neretin, G. Marmo, 2012, 1212.4610.

Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II

Martin Bauer, Martins Bruveris, Peter W. Michor, 2013 .

Functors and categories of Banach spaces

P. Michor, 1978 .

Sobolev metrics on spaces of manifold valued curves

Martin Bauer, P. Michor, Cy Maor, 2020, 2007.13315.

Homology and modular classes of Lie algebroids

P. Michor, J. Grabowski, G. Marmo, 2003, math/0310072.

The convenient setting for non-quasianalytic Denjoy–Carleman differentiable mappings☆

Peter W. Michor, Andreas Kriegl, Armin Rainer, 2009 .

n-ary Lie and Associative Algebras

Peter W. Michor, P. Michor, Alexandre M. Vinogradov, 1998 .

A ZOO OF DIFFEOMORPHISM GROUPS ON R

P. Michor, 2012 .

Geometry of Sample Spaces.

P. Michor, X. Pennec, Stefan Sommer, 2020, 2010.08039.

Some Remarks on the Plücker Relations

P. Michor, M. Eastwood, 1999 .

PSEUDORIEMANNIAN METRICS ON SPACES OF ALMOST HERMITIAN STRUCTURES

P. Michor, O. Gil-Medrano, 2001 .

Rolling of Coxeter Polyhedra Along Mirrors

P. Michor, Y. Neretin, D. Alekseevsky, 2009, 0907.3502.

2 0 Ju l 2 00 9 ROLLING OF COXETER POLYHEDRA ALONG MIRRORS

P. Michor, Y. Neretin, D. Alekseevski, 2009 .

Differentiable perturbation of unbounded operators

P. Michor, A. Kriegl, 2002, math/0204060.

Soliton solutions for the elastic metric on spaces of curves

Martin Bauer, M. Bruveris, P. Michor, 2017, 1702.04344.

THE CURVATURE OF THE BOGOLIUBOV-KUBO-MORI SCALAR PRODUCT ON MATRICES

P. Michor, D. Petz, A. Andai, 2008 .

Natural Operations in Di erential Geometry Springer-Verlag

P. Michor, J. Slovák, R. Kola, 1993 .

All Russian mathematical portal

P. Michor, M. Micheli, D. Mumford, 2018 .

THE CURVATURE OF THE BOGOLIUBOV-KUBO-MORI SCALAR PRODUCT ON MATRICES

P. Michor, D. Petz, A. Andai, 2008 .

Overview of the Geometries of Shape Spaces and Diffeomorphism Groups

Martin Bauer, Martins Bruveris, Peter W. Michor, 2013, Journal of Mathematical Imaging and Vision.

SOBOLEV METRICS ON SHAPE SPACE OF HYPERSURFACES IN N-SPACE

P. Michor, P. Harms, 2010 .

On polarizations in invariant theory

P. Michor, M. Losik, V. Popov, 2005, math/0505072.

Lifting smooth curves over invariants for representations of compact Lie groups

P. Michor, A. Kriegl, A. Rainer, 1998, math/9801029.

Many parameter Hölder perturbation of unbounded operators

P. Michor, A. Kriegl, A. Rainer, 2006, math/0611506.

Reflection groups on Riemannian manifolds

P. Michor, A. Kriegl, D. Alekseevsky, 2003, math/0306078.

Fractional Sobolev metrics on spaces of immersions

Martin Bauer, P. Michor, Philipp Harms, 2019, Calculus of Variations and Partial Differential Equations.

Completing Lie algebra actions to Lie group actions

P. Michor, F. Kamber, 2003, math/0310308.

Differential geometry of $\frak g$-manifolds

P. Michor, D. Alekseevsky, 1993, math/9309214.

The relation between systems and associated bundles

P. Michor, 1992, math/9203202.

Differentiable perturbation of unbounded operators

P. Michor, A. Kriegl, 2002, math/0204060.

Choosing roots of polynomials smoothly

P. Michor, A. Kriegl, D. Alekseevsky, 1998, math/9801026.

Orbifold-like and proper $\mathfrak g$-manifolds

P. Michor, F. Kamber, 2022, 2209.15432.

Aspects of the theory of infinite dimensional manifolds

P. Michor, A. Kriegl, 1991, math/9202206.

$n$-transitivity of certain diffeomorphism groups

P. Michor, Cornelia Vizman, 1994, dg-ga/9406005.

The Generalized Cayley Map from an Algebraic Group to its Lie Algebra

P. Michor, B. Kostant, 2001, math/0109066.

Characterizing algebras of C ∞ -functions on manifolds

P. Michor, 1996 .

Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms

D. Mumford, P. Michor, 2004, Documenta Mathematica.

Some Geometric Evolution Equations Arising as Geodesic Equations on Groups of Diffeomorphisms Including the Hamiltonian Approach

P. Michor, 2006, math/0609077.

Curvature of the Virasoro-Bott group

T. Ratiu, P. Michor, 1998, math/9801115.

REGULAR INFINITE DIMENSIONAL LIE GROUPS

P. Michor, A. Kriegl, 1998, math/9801007.

Characteristic classes for G-structures☆

P. Michor, D. Alekseevsky, 1992, math/9209219.

THE RIEMANNIAN MANIFOLD OF ALL RIEMANNIAN METRICS

P. Michor, O. Gil-Medrano, 1992, math/9201259.

Non-singular space-times with a negative cosmological constant: V. Boson stars

P. Michor, P. Chruściel, E. Delay, 2018, Letters in Mathematical Physics.

Many parameter Hölder perturbation of unbounded operators

P. Michor, A. Kriegl, A. Rainer, 2011, Mathematische Annalen.

Fractional Sobolev metrics on spaces of immersions

Martin Bauer, P. Michor, Philipp Harms, 2020, Calculus of Variations and Partial Differential Equations.

Smooth *-algebras

P. Michor, A. Kriegl, Y. Maeda, 2001, math/0106150.

The convenient setting for real analytic mappings

P. Michor, A. Kriegl, 1990, math/9201254.

Extensions of super Lie algebras

P. Michor, W. Ruppert, D. Alekseevsky, 2001, math/0101190.

Extensions of Lie algebras

P. Michor, W. Ruppert, D. Alekseevsky, 2000, math/0005042.

The multigraded Nijenhuis-Richardson algebra, its universal property and applications

P. Michor, P. Lecomte, H. Schicketanz, 1992, math/9201257.

Institute for Mathematical Physics a Note on N{ary Poisson Brackets

P. Michor, I. Vaisman, 2009 .

A Note on n-ary Poisson Brackets

P. Michor, I. Vaisman, 1999, math/9901117.

Institute for Mathematical Physics Construction of Completely Integrable Systems by Poisson Mappings

P. Michor, J. Grabowski, G. Marmo, 2022 .

n-ary Lie and Associative Algebras

P. Michor, A. Vinogradov, 1998, math/9801087.

Remarks on the Fr?olicher-Nijenhuis bracket

P. Michor, 1986 .

POISSON STRUCTURES ON DOUBLE LIE GROUPS

P. Michor, J. Grabowski, G. Marmo, 1998, math/9801028.

POISSON STRUCTURES ON DOUBLE LIE GROUPSD

P. Michor, J. Grabowski, G. Marmo, 1997 .

Remarks on the Schouten-Nijenhuis bracket

P. Michor, 1987 .

A generalization of Hamiltonian mechanics

P. Michor, 1985 .

More on the Frlicher-Nijenhuis bracket in noncommutative differential geometry

P. Michor, M. Dubois-Violette, 1997 .

The Fr\"olicher-Nijenhuis bracket for derivation based non commutative differential forms

P. Michor, M. Dubois-Violette, 1994, dg-ga/9410007.

The Frolicher-Nijenhuis bracket for derivation based noncommutative differential forms

P. Michor, M. Dubois-Violette, 1994 .

MORE ON THE FR OLICHER-NIJENHUIS BRACKET IN NON COMMUTATIVE DIFFERENTIAL GEOMETRY

P. Michor, A. Kriegl, A. Čap, 1992, math/9207209.

IN NON COMMUTATIVE DIFFERENTIAL GEOMETRY

P. Michor, A. Kriegl, A. Čap, 1993 .

The Electronic Library of Mathematics Mathematical Monographs

P. Michor, Jan Slov, 1993 .

Gauge Theory for Fiber Bundles

P. Michor, 1991 .

Sectional Curvature in Terms of the Cometric, with Applications to the Riemannian Manifolds of Landmarks

David Mumford, Peter W. Michor, Mario Micheli, 2010, SIAM J. Imaging Sci..

DIFFERENTIAL GEOMETRY AND LIE GROUPS APPLICATION FOR “INITIATIVKOLLEG DER UNIVERSITÄT WIEN”

P. Michor, D. Burde, R. Beig, 2005 .

The convenient setting for Denjoy–Carleman differentiable mappings of Beurling and Roumieu type

P. Michor, A. Kriegl, A. Rainer, 2015, Revista Matemática Complutense.

The convenient setting for Denjoy–Carleman differentiable mappings of Beurling and Roumieu type

Peter W. Michor, Andreas Kriegl, Armin Rainer, 2011, 1111.1819.

The convenient setting for non-quasianalytic Denjoy–Carleman differentiable mappings☆

Peter W. Michor, Andreas Kriegl, Armin Rainer, 2008, 0909.5632.

All unitary representations admit moment mappings

P. Michor, 1992, math/9204222.

The moment mapping for a unitary representation

P. Michor, 1992, math/9201256.

The moment mapping for unitary representations

P. Michor, 1990 .

POLARIZATIONS IN CLASSICAL INVARIANT THEORY

P. Michor, M. Losik, V. Popov, 2002 .

Geometry of Sample Spaces.

P. Michor, X. Pennec, Philipp Harms, 2020, 2010.08039.

Dérivations Et Calcul Différentiel Non Commutatif Ii Dérivations and Noncommutative Differential Calculus Ii

P. Michor, 2008 .

Isometric Actions of Lie Groups and Invariants

P. Michor, 2000 .

From Geometry to Quantum Mechanics

P. Michor, T. Ochiai, Y. Maeda, 2007 .

A 2-Cocycle on a Symplectomorphism Group

P. Michor, R. S. Ismagilov, M. Losik, 2006 .

NATURAL TRANSFORMATIONS IN DIFFERENTIAL GEOMETRY

P. Michor, G. Kainz, 1987 .

Some Remarks on the Plücker Relations

P. Michor, M. Eastwood, 1999 .

Geodesics on spaces of almost hermitian structures

P. Michor, O. Gil-Medrano, 1992, math/9204223.

Smooth Perturbations of the Functional Calculus and Applications to Riemannian Geometry on Spaces of Metrics

Martin Bauer, P. Michor, Philipp Harms, 2018, Communications in Mathematical Physics.

Sobolev metrics on the manifold of all Riemannian metrics

Martin Bauer, Peter W. Michor, Philipp Harms, 2011, 1102.3347.

PSEUDORIEMANNIAN METRICS ON SPACES OF BILINEAR STRUCTURES

P. Michor, O. Gil-Medrano, M. Neuwirther, 1992, math/9201258.

Manifolds of differentiable mappings

P. Michor, 1980 .

The exponential law for spaces of test functions and diffeomorphism groups

P. Michor, A. Kriegl, A. Rainer, 2014, 1411.0483.

Moser’s theorem on manifolds with corners

P. Michor, A. Rainer, A. Parusiński, 2016, Proceedings of the American Mathematical Society.

Why Use Sobolev Metrics on the Space of Curves

Martin Bauer, Martins Bruveris, Peter W. Michor, 2015, 1502.03229.

Geometry of sample spaces

P. Michor, X. Pennec, Philipp Harms, 2020, Differential Geometry and its Applications.

The Riemannian geometry of orbit spaces -- the metric, geodesics, and integrable systems

P. Michor, A. Kriegl, M. Losik, 2001, Publicationes Mathematicae Debrecen.

Q A ] 1 3 Ju l 2 00 1 SMOOTH ∗-ALGEBRAS

P. Michor, A. Kriegl, Y. Maeda, 2008 .

Institute for Mathematical Physics Smooth * –algebras

P. Michor, A. Kriegl, Y. Maeda, 2001 .

Differential geometry of g-manifolds

P. Michor, D. Alekseevsky, 1995 .

Knit products of graded Lie algebras and groups

P. Michor, 1992, math/9204220.

Connections on central bimodules in noncommutative differential geometry

P. Michor, M. Dubois-Violette, 1995, q-alg/9503020.

Manifolds of smooth mappings IV: Theorem of De Rham

P. Michor, 1983 .

Tensor fields and connections on holomorphic orbit spaces of finite groups

P. Michor, A. Kriegl, M. Losik, 2002, math/0203079.

LIFTING MAPPINGS OVER INVARIANTS OF FINITE GROUPS

P. Michor, A. Kriegl, A. Rainer, 2003, math/0312030.

Invariant Tensor Fields and Orbit Varieties for Finite Algebraic Transformation Groups

P. Michor, M. Losik, V. Popov, 2002, math/0206008.

D G ] 2 0 Fe b 20 01 THE RIEMANNIAN GEOMETRY OF ORBIT SPACES . THE METRIC , GEODESICS , AND INTEGRABLE SYSTEMS

P. Michor, A. Kriegl, M. Losik, 2001 .

Description of the Scientific Work Invariant Theory I: Lifting of Curves. Collaboration with Dmitri Alekseevsky from Hull (uk) and Moscow, Mark Losik from Saratov (ru), Andreas Kriegl and Armin Rainer from Vienna

P. Michor, P. 14195-MAT, 2022 .

Infinite dimensional manifolds

P. Michor, A. Kriegl, 1997 .

A generalization of Puiseux’s theorem and lifting curves over invariants

P. Michor, A. Rainer, M. Losik, 2011, Revista Matemática Complutense.

A generalization of Puiseux’s theorem and lifting curves over invariants

P. Michor, A. Rainer, M. Losik, 2009, 0904.2068.

CHARACTERIZING ALGEBRAS OF SMOOTH FUNCTIONS ON MANIFOLDS

P. Michor, Jivri Vanvzura, 1994, math/9404228.

A 2-Cocycle on a Group of Symplectomorphisms

P. Michor, R. S. Ismagilov, M. Losik, 2004, math/0410100.

Smooth Multiparameter Perturbation of Polynomials and Operators

P. Michor, A. Rainer, M. Losik, 2007, 0705.2093.

DERIVATIONS ET CALCUL DIFFERENTIEL NON COMMUTATIF. II

P. Michor, M. Dubois-Violette, 1988 .

Extensions for a group of diffeomorphisms of a manifold preserving an exact 2-form

P. Michor, M. Losik, 2004 .

A convenient setting for differential geometry and global analysis II

Peter W. Michor, P. Michor, 1984 .

Geometry of the Fisher–Rao metric on the space of smooth densities on a compact manifold

P. Michor, Martins Bruveris, 2016, Mathematische Nachrichten.

J an 1 99 8 POISSON STRUCTURES ON DOUBLE LIE GROUPS

P. Michor, J. Grabowski, G. Marmo, 1998 .

Institute for Mathematical Physics Some Remarks on the Pl Ucker Relations

P. Michor, M. Eastwood, 2009 .

Non-singular space-times with a negative cosmological constant: V. Boson stars

P. Michor, A. Kriegl, A. Rainer, 2017, Letters in Mathematical Physics.

Riemannian geometry of the space of volume preserving immersions

Martin Bauer, P. Michor, O. Muller, 2016, 1603.05916.

Manifolds of Mappings for Continuum Mechanics

P. Michor, 2019, Advances in Mechanics and Mathematics.

Manifolds of mappings and shapes

Peter W. Michor, P. Michor, 2015, 1505.02359.

An exotic zoo of diffeomorphism groups on $$\mathbb {R}^n$$Rn

Peter W. Michor, Andreas Kriegl, Armin Rainer, 2014, 1404.7033.

A zoo of diffeomorphism groups on $$\mathbb{R }^{n}$$Rn

David Mumford, Peter W. Michor, D. Mumford, 2012, 1211.5704.

An exotic zoo of diffeomorphism groups on R n

Peter W. Michor, Andreas Kriegl, Armin Rainer, 2015 .

THE EXPONENTIAL LAW FOR EXOTIC SPACES OF TEST FUNCTIONS AND DIFFEOMORPHISM GROUPS

P. Michor, A. Kriegl, 2014 .

A zoo of diffeomorphism groups on R n

David Mumford, Peter W. Michor, D. Mumford, 2013 .

A ZOO OF DIFFEOMORPHISM GROUPS ON R

P. Michor, 2012 .

THE CONVENIENT SETTING FOR QUASIANALYTIC

P. Michor, A. Kriegl, A. Rainer, 2011 .

Some remarks on the Pluecker relations

P. Michor, Mike Eastwood, 1999, math/9905090.

Differential geometry of Cartan connections

P. Michor, D. Alekseevsky, 1994, Publicationes Mathematicae Debrecen.

Institute for Mathematical Physics Differential Geometry of Cartan Connections Differential Geometry of Cartan Connections

P. Michor, D. Alekseevsky, 2022 .

Choosing roots of polynomials smoothly, II

P. Michor, A. Kriegl, M. Losik, 2002, math/0208228.

No slices on the space of generalized connections

P. Michor, H. Schichl, 1998, math/9801023.

C∞-algebras from the functional analytic view point

P. Michor, G. Kainz, A. Kriegl, 1987 .

Regularity and completeness of half-Lie groups

Martin Bauer, P. Michor, Philipp Harms, 2023, 2302.01631.

Graded derivations of the algebra of differential forms associated with a connection

P. Michor, 1992, math/9202207.

Smoothness of the action of the gauge transformation group on connections

P. Michor, M. C. Abbati, R. Cirelli, 1986 .

Institute for Mathematical Physics Poisson Structures on Double Lie Groups Poisson Structures on Double Lie Groups

P. Michor, J. Grabowski, G. Marmo, 2022 .

Basic differential forms for actions of Lie groups. II

P. Michor, 1994, dg-ga/9406006.

Completely integrable systems: a generalization

P. Michor, G. Marmo, D. Alekseevsky, 1999, math/9906202.

Choosing roots of polynomials smoothly

P. Michor, A. Kriegl, D. Alekseevsky, 1998, math/9801026.

Curvature weighted metrics on shape space of hypersurfaces in n-space ☆

Martin Bauer, P. Michor, Philipp Harms, 2011, 1102.0678.

Almost Local Metrics on Shape Space of Hypersurfaces in n-Space

Martin Bauer, Peter W. Michor, Philipp Harms, 2010, SIAM J. Imaging Sci..

ITS UNIVERSAL PROPERTY AND APPLICATIONS

P. Michor, P. Lecomte, H. Schicketanz, 1991 .

Characters on algebras of smooth functions

P. Michor, W. Schachermayer, A. Kriegl, 1989 .