Shin-ichi Ohta

activity

20072026

most citedBochner-Weitzenboeck formula and Li-Yau estimates on Finsler manifolds

31 citations · 110 across the 36 of their papers we have counts for

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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.AP2010★ 5 cited

Non-contraction of heat flow on Minkowski spaces

Shin-ichi Ohta, Karl-Theodor Sturm

We study contractivity properties of gradient flows for functions on normed spaces or, more generally, on Finsler manifolds. Contractivity of the flows turns out to be equivalent t…

math.AP2008

Heat flow on Finsler manifolds

Shin-ichi Ohta, Karl-Theodor Sturm

We present two approaches to the heat flow on a Finsler manifold $(M, F)$ : either as gradient flow on $L^{2} (M, m)$ for the energy; or as gradient flow on the reverse $L^{2}$ -Wasserstein…