Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows

Elia Bruè, Daniele Semola

Type: Preprint

Publication Date: 2018-04-19

Citations: 8

Locations

arXiv (Cornell University) - View

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+	Rigidity of the 1-Bakry-\'Emery inequality and sets of finite perimeter in RCD spaces	2018	Luigi Ambrosio Elia Bruè Daniele Semola
+ PDF Chat	Invariant Measures and Lower Ricci Curvature Bounds	2019	Jaime Santos-Rodríguez
+	Bakry-Émery conditions on almost smooth metric measure spaces	2018	Shouhei Honda
+	Ricci curvature in dimension 2	2018	Alexander Lytchak Stephan Stadler
+ PDF Chat	Non-collapsed spaces with Ricci curvature bounded from below	2018	Guido De Philippis Nicola Gigli
+	On the structure of RCD spaces with upper curvature bounds	2019	Vitali Kapovitch Martin Kell C. Ketterer
+	A Sufficient Condition to a Regular Set Being of Positive Measure on Spaces	2018	Yu Kitabeppu
+	A note on the collapsing geometry of hyperkähler four manifolds	2019	Shouhei Honda Song Sun Ruobing Zhang

Works Cited by This (43)

Action	Title	Year	Authors
+	Lectures on Analysis on Metric Spaces	2001	Juha Heinonen
+ PDF Chat	On the structure of spaces with Ricci curvature bounded below. I	1997	Jeff Cheeger Tobias Colding
+ PDF Chat	Ricci curvature for metric-measure spaces via optimal transport	2009	John Lott Cédric Villani
+ PDF Chat	Estimates and regularity results for the DiPerna-Lions flow	2008	Gianluca Crippa Camillo De Lellis
+ PDF Chat	On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces	2014	Matthias Erbar Kazumasa Kuwada Karl-Theodor Sturm
+	Localization and tensorization properties of the curvature-dimension condition for metric measure spaces	2010	Kathrin Bacher Karl‐Theodor Sturm
+	Differentiability of Lipschitz Functions on Metric Measure Spaces	1999	Jeff Cheeger
+ PDF Chat	On the geometry of metric measure spaces. II	2006	Karl‐Theodor Sturm
+	Some Nonlinear Problems in Riemannian Geometry	1998	Thierry Aubin
+ PDF Chat	A simple proof of the Morse-Sard theorem in Sobolev spaces	2008	Alessio Figalli