Cover Image

On the rigidity of Wasserstein contraction along heat flows

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Li, Zhenhao
Format:	Preprint
Published:	2025
Subjects:	Metric Geometry Differential Geometry 53C23, 49Q22, 53C24
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics
by: Kunzinger, Michael, et al.
Published: (2024)

On weak formulations of (super) Ricci flows
by: Lakzian, Sajjad
Published: (2026)

Optimal transport on the sub-Lorentzian Heisenberg group
by: Borza, Samuël, et al.
Published: (2025)

Curvature-dimension condition of sub-Riemannian $α$-Grushin half-spaces
by: Borza, Samuël, et al.
Published: (2024)

Failure of the measure contraction property via quotients in higher-step sub-Riemannian structures
by: Borza, Samuël, et al.
Published: (2025)

Comparison estimates on nonsmooth spaces with integrable Ricci lower bounds via localization
by: Caputo, Emanuele, et al.
Published: (2025)

Filling minimality and Lipschitz-volume rigidity of convex bodies among integral current spaces
by: Basso, Giuliano, et al.
Published: (2022)

Busemann and MCP
by: Fujioka, Tadashi, et al.
Published: (2026)

Stability of Convex Spheres
by: Máximo, Davi, et al.
Published: (2023)

Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures
by: Barilari, Davide, et al.
Published: (2022)

Timelike conjugate points in Lorentzian length spaces
by: Grant, James D. E., et al.
Published: (2025)

Topological rigidity of small RCD(K,N) spaces with maximal rank
by: Zamora, Sergio, et al.
Published: (2024)

Curvature exponent of sub-Finsler Heisenberg groups
by: Borza, Samuël, et al.
Published: (2024)

Synthetic versus distributional lower Ricci curvature bounds
by: Kunzinger, Michael, et al.
Published: (2022)

The Lipschitz-volume rigidity problem for metric manifolds
by: Marti, Denis
Published: (2025)

Characterization of metric spaces with a metric fundamental class
by: Marti, Denis, et al.
Published: (2024)

Measure contraction property, curvature exponent and geodesic dimension of sub-Finsler $\ell^p$-Heisenberg groups
by: Borza, Samuël, et al.
Published: (2023)

Scalar curvature rigidity of domains in a 3-dimensional warped product
by: Chai, Xiaoxiang, et al.
Published: (2025)

Warped products over one-dimensional base spaces and the RCD condition
by: Ketterer, Christian
Published: (2025)

Constant mean curvature surfaces in the sub-Lorentzian Heisenberg group
by: Borza, Samuël, et al.
Published: (2026)

Lipschitz rigidity for scalar curvature on singular manifolds in odd dimensions
by: Schoenlinner, Lukas
Published: (2026)

Rigidity of ideal symmetric sets
by: Stadler, Stephan
Published: (2024)

On the geometry of Wasserstein barycenter I
by: Han, Bang-Xian, et al.
Published: (2024)

Non-collapsed eGH convergence and dimension
by: Núñez-Zimbrón, Jesús, et al.
Published: (2025)

Torus covers with controlled volume and diameter
by: Zamora, Sergio
Published: (2025)

1-Uryson width and covers
by: Alpert, Hannah, et al.
Published: (2025)

On the lower bound of the curvature exponent on step-two Carnot groups
by: Zhang, Ye
Published: (2025)

Wall singularity of spaces with an upper curvature bound
by: Nagano, Koichi
Published: (2026)

Positive Scalar Curvature Meets Ricci Limit Spaces
by: Wang, Jinmin, et al.
Published: (2022)

Asymptotic geometric regularity of CAT(0) spaces
by: Nagano, Koichi
Published: (2026)

Uniform boundedness on extremal subsets in Alexandrov spaces
by: Fujioka, Tadashi
Published: (2018)

Curvature exponent and geodesic dimension on Sard-regular Carnot groups
by: Golo, Sebastiano Nicolussi, et al.
Published: (2023)

Lipschitz homotopy convergence of Alexandrov spaces II
by: Fujioka, Tadashi, et al.
Published: (2023)

Small separators, upper bounds for $l^\infty$-widths, and systolic geometry
by: Avvakumov, Sergey, et al.
Published: (2024)

Five-point Toponogov theorem
by: Lebedeva, Nina, et al.
Published: (2022)

Two-dimensional metric spaces with curvature bounded above I
by: Nagano, Koichi, et al.
Published: (2021)

Nonnegative Ricci Curvature and Uniformly Convex Boundary Forces Compactness
by: Yan, Zetian, et al.
Published: (2026)

Comparison and Rigidity Theorems for geodesic curvatures in two dimensional Alexandrov spaces
by: Ma, Le, et al.
Published: (2026)

Stability and Finiteness of Wasserstein Spaces
by: Alattar, Mohammad
Published: (2024)

Isometric Rigidity of Metric Constructions with respect to Wasserstein Spaces
by: Che, Mauricio, et al.
Published: (2024)