C. Croke

发表

Choice of Riemannian Metrics for Rigid Body Kinematics

M. Žefran, Vijaya Kumar, C. Croke, 2013 .

On the generation of smooth three-dimensional rigid body motions

Vijay Kumar, Milos Zefran, Christopher Croke, 1998, IEEE Trans. Robotics Autom..

Encyclopaedia of Mathematics, Supplement III

Konrad Engel, Willy Govaerts, Francisco Marcellán, 2002 .

A rigidity theorem for simply connected manifolds without conjugate points

C. Croke, B. Kleiner, 1998, Ergodic Theory and Dynamical Systems.

Volumes of small balls on open manifolds: lower bounds and examples

C. Croke, H. Karcher, 1988 .

A Quadratic Programming Formulation for the Design of Reduced Protein Models in Continuous Sequence Space

G. K. Ananthasuresh, C. Croke, S. Koh, 2005 .

A rigidity theorem for manifolds without conjugate points

C. Croke, B. Kleiner, 1998, Ergodic Theory and Dynamical Systems.

Scattering data versus lens data on surfaces

C. Croke, Haomin Wen, 2015, 1508.03081.

A lower bound for λ1 on manifolds with boundaryon manifolds with boundary

C. Croke, A. Derdzínski, 1987 .

The geodesic flow of a nonpositively curved graph manifold

C. Croke, B. Kleiner, 1999, math/9911170.

The first eigenvalue of the Laplacian for plane domains

C. Croke, 1981 .

The volume and lengths on a three sphere

C. Croke, 2000, math/0003102.

Area and the length of the shortest closed geodesic

C. Croke, 1988 .

Filling area conjecture and ovalless real hyperelliptic surfaces

C. Croke, S. Ivanov, V. Bangert, 2004, math/0405583.

Scattering rigidity with trapped geodesics

C. Croke, 2011, Ergodic Theory and Dynamical Systems.

Boundary case of equality in optimal Loewner-type inequalities

C. Croke, S. Ivanov, V. Bangert, 2004, math/0406008.

Poincaré's problem and the length of the shortest closed geodesic on a convex hypersurface

C. Croke, 1982 .

Conjugacy and rigidity for nonpositively curved manifolds of higher rank

C. Croke, B. Kleiner, P. Eberlein, 1996 .

Rigidity for surfaces of non-positive curvature

C. Croke, Christopher B. Croke, 1990 .

The fundamental group of compact manifolds without conjugate points

C. Croke, V. Schroeder, 1986 .

Solution to the bundle-to-bundle mapping problem of geometric optics using four freeform reflectors.

Christopher B Croke, R Andrew Hicks, R. A. Hicks, 2014, Journal of the Optical Society of America. A, Optics, image science, and vision.

Lengths and volumes in Riemannian manifolds

C. Croke, N. S. Dairbekov, 2004 .

RIGIDITY THEOREMS IN RIEMANNIAN GEOMETRY

C. Croke, 2004 .

The marked length-spectrum of a surface of nonpositive curvature☆

C. Croke, J. Feldman, A. Fathi, 1992 .

Spectral rigidity of a compact negatively curved manifold The first author was partly supported

C. Croke, V. Sharafutdinov, 1998 .

Rigidity and the distance between boundary points

C. Croke, Christopher B. Croke, 1991 .

Universal volume bounds in Riemannian manifolds

C. Croke, M. Katz, 2003, math/0302248.

Metrics and Connections for Rigid-Body Kinematics

Vijay Kumar, Milos Zefran, Christopher Croke, 1999, Int. J. Robotics Res..

THE LENGTH OF A SHORTEST CLOSED GEODESIC AND THE AREA OF A 2-DIMENSIONAL SPHERE

C. Croke, 2006 .

Some isoperimetric inequalities and eigenvalue estimates

C. Croke, Christopher B. Croke, 1980 .

On tori without conjugate points

C. Croke, B. Kleiner, 1995 .

A synthetic characterization of the hemisphere

C. Croke, 2004, math/0406283.

Local boundary rigidity of a compact Riemannian manifold with curvature bounded above

C. Croke, V. Sharafutdinov, N. S. Dairbekov, 2000 .

A Zoll Counterexample to a Geodesic Length Conjecture

C. Croke, F. Balacheff, M. Katz, 2007, 0711.1229.

An eigenvalue pinching theorem

C. Croke, 1982 .

A warped product splitting theorem

C. Croke, B. Kleiner, 1992 .

S 1 -QUOTIENTS OF QUATERNION-K¨AHLER MANIFOLDS

C. Croke, Fiammetta Battaglia, 1996 .

Analysis of Fully Reversed Sequences of Rotations of a Free Rigid Body

G. K. Ananthasuresh, Sung K. Koh, C. Croke, 2004 .

Conjugacy and rigidity for manifolds with a parallel vector field

C. Croke, B. Kleiner, 1994 .

Geometric Methods in Inverse Problems and PDE Control

C. Croke, Christopher B. Croke, Pde Control, 2004 .

Lens rigidity with trapped geodesics in two dimensions

C. Croke, Pilar Herreros, 2011, 1108.4938.

LENS RIGIDITY WITH TRAPPED GEODESICS IN TWO

C. Croke, Pilar Herreros, 2011 .