A. Mondino

发表

ON RIEMANNIAN MANIFOLDS

A. Mondino, 1999 .

Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

L. Ambrosio, Giuseppe Savare', A. Mondino, 2015, Memoirs of the American Mathematical Society.

Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds

A. Mondino, F. Cavalletti, Fabio Cavalletti, 2015, Inventiones mathematicae.

Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications

A. Mondino, F. Cavalletti, 2020, 2004.08934.

A frame energy for immersed tori and applications to regular homotopy classes

A. Mondino, T. Riviére, T. Rivière, 2013, 1307.6884.

Entropy-Transport distances between unbalanced metric measure spaces

Nicolò De Ponti, A. Mondino, 2020, 2009.10636.

Quantitative Isoperimetry à la Levy‐Gromov

A. Mondino, F. Maggi, F. Cavalletti, 2017, Communications on Pure and Applied Mathematics.

Entropy-Transport distances between unbalanced metric measure spaces

A. Mondino, Nicolò De Ponti, 2020, Probability Theory and Related Fields.

Almost euclidean Isoperimetric Inequalities in spaces satisfying local Ricci curvature lower bounds.

A. Mondino, F. Cavalletti, 2017, 1703.02119.

Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity

A. Mondino, Aidan Templeton-Browne, 2021, Journal of the London Mathematical Society.

The equality case in Cheeger's and Buser's inequalities on RCD spaces

A. Mondino, Daniele Semola, Nicolò De Ponti, 2020, Journal of Functional Analysis.

A Talenti-type comparison theorem for RCD(K,N)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\,\mathrm{RCD}\,}}(K,N

A. Mondino, Mattia Vedovato, Andrea Mondino, 2020, Calculus of Variations and Partial Differential Equations.

to Riemannian manifolds

A. Mondino, 1999 .

Existence of isoperimetric regions in non-compact Riemannian manifolds under Ricci or scalar curvature conditions

A. Mondino, S. Nardulli, 2012, 1210.0567.

On a isoperimetric-isodiametric inequality

A. Mondino, E. Spadaro, Andrea Mondino, 2016, 1603.05263.

A Talenti-type comparison theorem for RCD ( K , N ) spaces and applications

A. Mondino, Mattia Vedovato, 2020 .

Embedded Surfaces of Arbitrary Genus Minimizing the Willmore Energy Under Isoperimetric Constraint

Andrea Mondino, A. Mondino, Tristan Rivière, 2013, 1305.5470.

Willmore spheres in compact Riemannian manifolds

A. Mondino, T. Rivière, Andrea Mondino, 2012, 1203.5501.

Homotopy properties of horizontal loop spaces and applications to closed sub-Riemannian geodesics

A. Mondino, A. Lerário, 2015, Transactions of the American Mathematical Society, Series B.

Existence of immersed spheres minimizing curvature functionals in compact 3-manifolds

A. Mondino, E. Kuwert, Johannes Schygulla, 2011, 1111.4893.

Cheeger bounds on spin-two fields

Andrea Mondino, G. Bruno De Luca, Nicolo De Ponti, 2021, Journal of High Energy Physics.

Immersed spheres of finite total curvature into manifolds

A. Mondino, T. Rivière, Andrea Mondino, 2013, 1305.6205.

An optimal transport formulation of the Einstein equations of general relativity

Stefan Suhr, Andrea Mondino, A. Mondino, 2018, Journal of the European Mathematical Society.

A strict inequality for the minimization of the Willmore functional under isoperimetric constraint

A. Mondino, Christian Scharrer, Andrea Mondino, 2020, Advances in Calculus of Variations.

Foliation by Area-constrained Willmore Spheres Near a Nondegenerate Critical Point of the Scalar Curvature

A. Mondino, A. Malchiodi, N. Ikoma, 2018, International Mathematics Research Notices.

Global Conformal Invariants of Submanifolds

A. Mondino, H. Nguyen, 2015, 1501.07527.

Embedded area‐constrained Willmore tori of small area in Riemannian three‐manifolds I: minimization

A. Mondino, A. Malchiodi, N. Ikoma, 2014, 1411.4396.

A gap theorem for Willmore tori and an application to the Willmore flow

A. Mondino, H. Nguyen, 2013, 1308.4238.

Existence of Generalized Totally Umbilic 2-Spheres in Perturbed 3-Spheres

A. Mondino, A. Carlotto, Andrea Mondino, 2013, 1303.6345.

Existence of integral $$m$$-varifolds minimizing $$\int \!|A|^p$$ and $$\int \!|H|^p,\,p>m,$$ in Riemannian manifolds

A. Mondino, 2010, 1010.4514.

Concentration of small Willmore spheres in Riemannian 3-manifolds

A. Mondino, P. Laurain, Paul Laurain, 2013, 1310.7082.

The Conformal Willmore Functional: A Perturbative Approach

A. Mondino, 2010, 1010.4151.

Some results about the existence of critical points for the Willmore functional

A. Mondino, 2010 .

Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds

A. Mondino, F. Cavalletti, Fabio Cavalletti, 2015, 1505.02061.

Li–Yau and Harnack type inequalities in RCD∗(K,N) metric measure spaces

A. Mondino, N. Garofalo, Andrea Mondino, 2013, 1306.0494.

Sharp Cheeger–Buser Type Inequalities in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathsf {RCD}(K,\infty )$$\e

A. Mondino, Nicolò De Ponti, Andrea Mondino, 2019, Journal of geometric analysis.

An upper bound on the revised first Betti number and a torus stability result for RCD spaces

A. Mondino, Raquel Perales, Ilaria Mondello, 2021, Commentarii Mathematici Helvetici.

On the universal cover and the fundamental group of an RCD*(K,N)-space

A. Mondino, Guofang Wei, G. Wei, 2016, Journal für die reine und angewandte Mathematik (Crelles Journal).

A non‐existence result for minimal catenoids in asymptotically flat spaces

Alessandro Carlotto, Andrea Mondino, A. Mondino, 2016, J. Lond. Math. Soc..

Sectional and intermediate Ricci curvature lower bounds via optimal transport

A. Mondino, C. Ketterer, Andrea Mondino, 2016, 1610.03339.

Structure theory of metric measure spaces with lower Ricci curvature bounds

A. Mondino, A. Naber, Andrea Mondino, 2014, Journal of the European Mathematical Society.

On the volume measure of non-smooth spaces with Ricci curvature bounded below

A. Mondino, Martin Kell, 2016, 1607.02036.

On the topology and the boundary of N–dimensional RCD(K,N) spaces

A. Mondino, V. Kapovitch, Andrea Mondino, 2019, Geometry & Topology.

Polya-Szego inequality and Dirichlet p-spectral gap for non-smooth spaces with Ricci curvature bounded below

A. Mondino, Daniele Semola, Andrea Mondino, 2018, Journal de Mathématiques Pures et Appliquées.

New formulas for the Laplacian of distance functions and applications

A. Mondino, F. Cavalletti, Fabio Cavalletti, 2018, Analysis & PDE.

Convergence of pointed non‐compact metric measure spaces and stability of Ricci curvature bounds and heat flows

A. Mondino, Giuseppe Savar'e, N. Gigli, 2013, 1311.4907.

On the Bakry-\'Emery condition, the gradient estimates and the Local-to-Global property of RCD*(K,N) metric measure spaces

L. Ambrosio, Giuseppe Savaré, A. Mondino, 2013, 1309.4664.

Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below

T. Rajala, A. Mondino, N. Gigli, 2013, 1304.5359.

A PDE approach to nonlinear potential theory in metric measure spaces

A. Mondino, N. Gigli, Andrea Mondino, 2012, 1209.3796.

Riemannian Ricci curvature lower bounds in metric measure spaces with -finite measure

L. Ambrosio, T. Rajala, A. Mondino, 2012, 1207.4924.

On the Bakry–Émery Condition, the Gradient Estimates and the Local-to-Global Property of $$\mathsf{RCD}^*(K,N)$$RCD∗(K,N) Metric Measure Spaces

L. Ambrosio, Giuseppe Savaré, A. Mondino, 2016 .

Quantitative Obata’s theorem

A. Mondino, F. Cavalletti, Daniele Semola, 2019, Analysis & PDE.

The equality case in Cheeger's and Buser's inequalities on $\mathsf{RCD}$ spaces

Nicolò De Ponti, A. Mondino, Daniele Semola, 2020 .

Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds

A. Mondino, F. Cavalletti, Fabio Cavalletti, 2016, Rendiconti Lincei - Matematica e Applicazioni.

Weak Laplacian bounds and minimal boundaries in non-smooth spaces with Ricci curvature lower bounds

A. Mondino, Daniele Semola, 2021, 2107.12344.

Optimal maps in essentially non-branching spaces

A. Mondino, F. Cavalletti, Fabio Cavalletti, 2016, 1609.00782.

Angles between Curves in Metric Measure Spaces

A. Mondino, B. Han, 2017, 1701.05000.

On quotients of spaces with Ricci curvature bounded below

A. Mondino, Martin Kell, Gerardo Sosa, 2017, Journal of Functional Analysis.

A new notion of angle between three points in a metric space

A. Mondino, 2013, 1302.0520.

Gaussian-type Isoperimetric Inequalities in $RCD(K,\infty)$ probability spaces for positive $K$

L. Ambrosio, A. Mondino, Andrea Mondino, 2016, 1605.02852.

A reverse H\"older inequality for first eigenfunctions of the Dirichlet Laplacian on RCD(K,N) spaces

A. Mondino, M. Gunes, 2021, 2110.00292.

Measure rigidity of Ricci curvature lower bounds

A. Mondino, F. Cavalletti, Fabio Cavalletti, 2015, 1501.03338.

FA ] 1 5 O ct 2 01 9 Quantitative Obata ’ s Theorem

A. Mondino, F. Cavalletti, Daniele Semola, 2019 .

Existence and Regularity of Spheres Minimising the Canham–Helfrich Energy

A. Mondino, Christian Scharrer, Andrea Mondino, 2019, Archive for Rational Mechanics and Analysis.

Cheeger bounds on spin-two fields

A. Mondino, A. Tomasiello, Nicolò De Ponti, 2021, Journal of High Energy Physics.

Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications

A. Mondino, Fabio Cavalletti, Andrea Mondino, 2020, 2004.08934.