27 citations · 63 across the 24 of their papers we have counts for
8 papers · 1 filter
Yau and Souplet-Zhang type gradient estimates on Riemannian manifolds with boundary under Dirichlet boundary condition
Keita Kunikawa, Yohei Sakurai
In this paper, on Riemannian manifolds with boundary, we establish a Yau type gradient estimate and Liouville theorem for harmonic functions under Dirichlet boundary condition. Und…
Comparison geometry of manifolds with boundary under lower -weighted Ricci curvature bounds with -range
Kazuhiro Kuwae, Yohei Sakurai
We study comparison geometry of manifolds with boundary under a lower -weighted Ricci curvature bound for with -range introduced…
Heat flow and concentration of measure on directed graphs with a lower Ricci curvature bound
Ryunosuke Ozawa, Yohei Sakurai, Taiki Yamada
In a previous work, the authors introduced a Lin-Lu-Yau type Ricci curvature for directed graphs referring to the formulation of the Chung Laplacian. The aim of this note is to pro…
Maximal diameter theorem for directed graphs of positive Ricci curvature
Ryunosuke Ozawa, Yohei Sakurai, Taiki Yamada
In a previous work, the authors have introduced a Lin-Lu-Yau type Ricci curvature for directed graphs, and obtained a diameter comparison of Bonnet-Myers type. In this paper, we in…
Hamilton type entropy formula along the Ricci flow on surfaces with boundary
Keita Kunikawa, Yohei Sakurai
In this article, we establish a monotonicity formula of Hamilton type entropy along Ricci flow on compact surfaces with boundary. We also study the relation between our entropy fun…
Lower -weighted Ricci curvature bound with -range and displacement convexity of entropies
Kazuhiro Kuwae, Yohei Sakurai
In the present article, we provide a characterization of a lower -weighted Ricci curvature bound for with -range introduced by Lu…
Rigidity phenomena on lower -weighted Ricci curvature bounds with -range for non-symmetric Laplacian
Kazuhiro Kuwae, Yohei Sakurai
Lu-Minguzzi-Ohta have introduced the notion of a lower -weighted Ricci curvature bound with -range, and derived several comparison geometric estimates from a Laplac…
Liouville theorem for heat equation along ancient super Ricci flow via reduced geometry
Keita Kunikawa, Yohei Sakurai
The aim of this article is to provide a Liouville theorem for heat equation along ancient super Ricci flow. We formulate such a Liouville theorem under a growth condition concernin…