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Ohta, Shin-ichi - Department of Mathematics, Kyoto University
Barycenters in Alexandrov spaces of curvature bounded below
Displacement convexity of generalized relative entropies
Bochner-Weitzenbock formula and Li-Yau estimates on Finsler manifolds
A note on Markov type constants Shin-ichi OHTA
Finsler interpolation inequalities Shin-ichi OHTA
First variation formula in Wasserstein spaces over compact Alexandrov spaces
Markov type of Alexandrov spaces of nonnegative curvature
Extending Lipschitz and Holder maps between metric spaces
Ricci curvature, entropy and optimal transport Shin-ichi OHTA
[ ] Villani [Vi1] [Vi2]
Products, cones, and suspensions of spaces with the measure contraction property
Bochner-Weitzenbock (M, F) x M TxM F|TxM
Convexities of metric spaces Shin-ichi OHTA
Vanishing S-curvature of Randers spaces Shin-ichi OHTA
Displacement convexity of generalized relative entropies. II
ASPM.tex : 2010/1/22 (15:59) page: 1 Advanced Studies in Pure Mathematics ,
Heat flow on Alexandrov spaces Nicola Gigli
Splitting theorems for Finsler manifolds of nonnegative Ricci curvature
2011 8 31 9 2 3 108 ( , MAP)
Non-contraction of heat flow on Minkowski spaces Shin-ichi Ohta
Weighted Ricci curvature estimates for Hilbert and Funk geometries
Bochner formula on Finsler manifolds and applications Bochner-Weitzenbock
Gradient flows on Wasserstein spaces over compact Alexandrov spaces
On the measure contraction property of metric measure spaces
Wasserstein Wasserstein
1 ([6]) n (Rn -Wasserstein
Uniform convexity and smoothness, and their applications in Finsler geometry
Villani 1000 [Vi2] [Vi2] [AGS] [RR] [Vi1]
Heat Flow on Finsler Manifolds Shin-ichi Ohta
