31 citations · 110 across the 36 of their papers we have counts for
4 papers · 1 filter
Self-contracted curves in CAT(0)-spaces and their rectifiability
Shin-ichi Ohta
We investigate self-contracted curves, arising as (discrete or continuous time) gradient curves of quasi-convex functions, and their rectifiability (finiteness of the lengths) in E…
Rigidity for the spectral gap on -spaces
Nicola Gigli, Christian Ketterer, Kazumasa Kuwada +1
We consider a rigidity problem for the spectral gap of the Laplacian on an -space (a metric measure space satisfying the Riemannian curvature-dimension condition) fo…
Nonlinear geometric analysis on Finsler manifolds
Shin-ichi Ohta
This is a survey article on recent progress of comparison geometry and geometric analysis on Finsler manifolds of weighted Ricci curvature bounded below. Our purpose is two-fold: G…
Some functional inequalities on non-reversible Finsler manifolds
Shin-ichi Ohta
We continue our study of geometric analysis on (possibly non-reversible) Finsler manifolds, based on the Bochner inequality established by the author and Sturm. Following the appro…