31 citations · 110 across the 36 of their papers we have counts for
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math.DG2011
Displacement convexity of generalized relative entropies.II
Shin-ichi Ohta, Asuka Takatsu
We introduce a class of generalized relative entropies (inspired by the Bregman divergence in information theory) on the Wasserstein space over a weighted Riemannian or Finsler man…
math.AP2011★ 31 cited
Bochner-Weitzenboeck formula and Li-Yau estimates on Finsler manifolds
Shin-ichi Ohta, Karl-Theodor Sturm
We prove the Bochner-Weitzenboeck formula for the (nonlinear) Laplacian on general Finsler manifolds and derive Li-Yau type gradient estimates as well as parabolic Harnack inequali…
math.DG2011★ 3 cited
Bochner-Weitzenböck formula and Li-Yau estimates on Finsler manifolds
Shin-ichi Ohta, Karl-Theodor Sturm
We prove the Bochner-Weitzenböck formula for the (nonlinear) Laplacian on general Finsler manifolds and derive Li-Yau type gradient estimates as well as parabolic Harnack inequalit…