Locally nearly spherical surfaces are almost-positively \(c-\)curved

DOI10.4310/MAA.2011.v18.n3.a2zbMath1295.53027arXiv1009.3586OpenAlexW2963347653MaRDI QIDQ390188

Yuxin Ge, Philippe P. Delanoë

Publication date: 22 January 2014

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3586

zbMATH Keywords

stabilityMonge problemc-curvaturecompact surfaces

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (8)

Hölder continuity and injectivity of optimal maps ⋮ A Perturbative Approach to the Parabolic Optimal Transport Problem ⋮ Positivity of Ma-Trudinger-Wang curvature on Riemannian surfaces ⋮ On the local geometry of maps with c-convex potentials ⋮ Wasserstein barycenters over Riemannian manifolds ⋮ Continuity and injectivity of optimal maps ⋮ Regularity of optimal transport maps on locally nearly spherical manifolds ⋮ Necessary and sufficient conditions for continuity of optimal transport maps on Riemannian manifolds

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