2019

Lerario, Antonio and Mondino, Andrea (2019) Homotopy properties of horizontal loop spaces and applications to closed sub-riemannian geodesics. Transactions of the American Math Society, Series B, 6 . pp. 187-214. doi:10.1090/btran/33

Ambrosio, Luigi, Mondino, Andrea and Savare, Giuseppe (2019) Nonlinear diffusion equations and curvature conditions in metric measure spaces. Memoirs of the American Mathematical Society . (In Press)

Mondino, Andrea and Naber, Aaron (2019) Structure theory of metric measure spaces with lower Ricci curvature bounds. Journal of the European Mathematical Society . doi:10.4171/JEMS/874 (In Press)

2018

Cavalletti, F., Maggi, F. and Mondino, Andrea (2018) Quantitative isoperimetry à la Levy-Gromov. Communications in Pure and Applied Mathematics . doi:10.1002/cpa.21808 (In Press)

Ikoma, Norihisa, Malchiodi, Andrea and Mondino, Andrea (2018) Foliation by area-constrained Willmore spheres near a non-degenerate critical point of the scalar curvature. International Mathematics Research Notices . rny203. doi:10.1093/imrn/rny203 (In Press)

Cavalletti, Fabio, Maggi, Francesco and Mondino, Andrea (2018) Rigidity for critical points in the Lévy-Gromov inequality. Mathematische Zeitschrift, 289 (3-4). pp. 1191-1197. doi:10.1007/s00209-017-1993-x

Cavalletti, Fabio and Mondino, Andrea (2018) Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds. Rendiconti Lincei - Matematica e applicationi, 29 (3). pp. 413-430. doi:10.4171/RLM/814

Galaz-García, Fernando, Kell, Martin, Mondino, Andrea and Sosa, Gerardo (2018) On quotients of spaces with Ricci curvature bounded below. Journal of Functional Analysis . doi:10.1016/j.jfa.2018.06.002 (In Press)

Cavalletti, Fabio and Mondino, Andrea (2018) Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds. Rendiconti Lincei - Matematica e Applicazioni, 29 (3). pp. 413-430. doi:10.4171/RLM/814

Ketterer, Christian and Mondino, Andrea (2018) Sectional and intermediate Ricci curvature lower bounds via optimal transport. Advances in Mathematics, 329 . pp. 781-818. doi:10.1016/j.aim.2018.01.024

Cavalletti, Fabio and Mondino, Andrea (2018) Almost euclidean isoperimetric inequalities in spaces satisfying local Ricci curvature lower bounds. International Mathematics Research Notices . doi:10.1093/imrn/rny070

Mondino, Andrea and The Nguyen, Huy (2018) Global conformal invariants of submanifolds. Annales de l'Institute Fourier . (In Press)

Mondino, Andrea and Nguyen, Huy T. (2018) Global conformal invariants of submanifolds. Annales de l'Institut Fourier, 68 (6). pp. 2663-2695. doi:10.5802/aif.3220

Mondino, Andrea (2018) On the volume measure of non-smooth spaces with Ricci curvature bounded below. Annali della Scuola Normale di Pisa - Classe di Scienze, 18 (2). pp. 593-610. doi:10.2422/2036-2145.201608_007

2017

Cavalletti, Fabio and Mondino, Andrea (2017) Optimal maps in essentially non-branching spaces. Communications in Contemporary Mathematics, 19 (6). 1750007. doi:10.1142/s0219199717500079

Ikoma, Norihisa, Malchiodi, Andrea and Mondino, Andrea (2017) Embedded area-constrained Willmore tori of small area in Riemannian three-manifolds II : Morse Theory. American Journal of Mathematics, 139 (5). pp. 1315-1378.

Cavalletti, Fabio and Mondino, Andrea (2017) Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds. Inventiones Mathematicae, 208 (3). pp. 803-849. doi:DOI 10.1007/s00222-016-0700-6

Cavalletti, Fabio and Mondino, Andrea (2017) Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds. Geometry and Topology, 21 (1). pp. 603-645. doi:10.2140/gt.2017.21.603

Mondino, Andrea and Spadaro, Emanuele (2017) On an isoperimetric-isodiametric inequality. Analysis and PDE, 10 (1). pp. 95-126.

2016

Mondino, Andrea and Rivière, Tristan (2016) A frame energy for immersed tori and applications to regular homotopy classes. Journal of Differential Geometry, 104 (1). pp. 143-186. doi:10.4310/jdg/1473186541