Independence of synthetic curvature dimension conditions on transport distance exponent
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Publication:5004556
DOI10.1090/tran/8413zbMath1469.49045arXiv2007.10980OpenAlexW3162260223MaRDI QIDQ5004556
Andrew Colinet, Robert J. McCann, Afiny Akdemir, Flavia Santarcangelo, Fabio Cavalletti
Publication date: 2 August 2021
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.10980
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Cites Work
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- Local curvature-dimension condition implies measure-contraction property
- Metric viscosity solutions of Hamilton-Jacobi equations depending on local slopes
- On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces
- On interpolation and curvature via Wasserstein geodesics
- On the local structure of optimal measures in the multi-marginal optimal transportation problem
- Existence and uniqueness of optimal transport maps
- A Riemannian interpolation inequality à la Borell, Brascamp and Lieb
- CD meets CAT
- Displacement convexity of Boltzmann's entropy characterizes the strong energy condition from general relativity
- Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds
- Ricci curvature for metric-measure spaces via optimal transport
- Transport maps, non-branching sets of geodesics and measure rigidity
- Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
- On a class of first order Hamilton-Jacobi equations in metric spaces
- Monge problem in metric measure spaces with Riemannian curvature-dimension condition
- Hamilton Jacobi equations on metric spaces and transport entropy inequalities
- Decomposition of geodesics in the Wasserstein space and the globalization problem
- Metric measure spaces with Riemannian Ricci curvature bounded from below
- On the measure contraction property of metric measure spaces
- Rates of decay to equilibria for \(p\)-Laplacian type equations
- On the geometry of metric measure spaces. I
- On the geometry of metric measure spaces. II
- Non-branching geodesics and optimal maps in strong \(CD(K,\infty)\)-spaces
- New formulas for the Laplacian of distance functions and applications
- Failure of the local-to-global property for CD(K,N) spaces
- Transport inequalities, gradient estimates, entropy and Ricci curvature
- Differential equations methods for the Monge-Kantorovich mass transfer problem
- Hamilton-Jacobi in metric spaces with a homological term
- Book Review: Geometry of isotropic convex bodies
- Examples of spaces with branching geodesics satisfying the curvature-dimension condition
- Optimal Transport