27 citations · 63 across the 24 of their papers we have counts for
25 papers
Stability of weighted minimal hypersurfaces under a lower -weighted Ricci curvature bound
Yasuaki Fujitani, Yohei Sakurai
We will study the -weighted Ricci curvature in view of the extrinsic geometric analysis. We derive several geometric consequences concerning stable weighted minimal hypersurface…
Geometric analysis on weighted manifolds under lower -weighted Ricci curvature bounds
Yasuaki Fujitani, Yohei Sakurai
We develop geometric analysis on weighted Riemannian manifolds under lower -weighted Ricci curvature bounds. Under such curvature bounds, we prove a first non-zero Steklov eigen…
Liouville theorem for -harmonic maps under non-negative -Ricci curvature for non-positive
Kazuhiro Kuwae, Songzi Li, Xiangdong Li +1
Let be a -vector field on an -dimensional complete Riemannian manifold . We prove a Liouville theorem for -harmonic maps satisfying various growth conditions…
Almost splitting and quantitative stratification for super Ricci flow
Keita Kunikawa, Yohei Sakurai
The aim of this paper is to study almost rigidity properties of super Ricci flow whose Muller quantity is non-negative. We conclude almost splitting and quantitative stratification…
Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in $\CAT(1)$ spaces
Yohei Sakurai
In this note, we study the Dirichlet problem for harmonic maps from strongly rectifiable spaces into regular balls in $\CAT(1)$ space. Under the setting, we prove that the Korevaar…
Gaussian heat kernel estimates of Bamler-Zhang type along super Ricci flow
Keita Kunikawa, Yohei Sakurai
Bamler-Zhang have developed geometric analysis on Ricci flow with scalar curvature bound. The aim of this paper is to extend their work to various geometric flows. We generalize so…
Liouville theorems for harmonic map heat flow along ancient super Ricci flow via reduced geometry
Keita Kunikawa, Yohei Sakurai
We study harmonic map heat flow along ancient super Ricci flow, and derive several Liouville theorems with controlled growth from Perelman's reduced geometric viewpoint. For non-po…
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…
Thermodynamic interpretation of Wasserstein distance
Andreas Dechant, Yohei Sakurai
We derive a relation between the dissipation in a stochastic dynamics and the Wasserstein distance. We show that the minimal amount of dissipation required to transform an initial…
Geometric and spectral properties of directed graphs under a lower Ricci curvature bound
Ryunosuke Ozawa, Yohei Sakurai, Taiki Yamada
For undirected graphs, the Ricci curvature introduced by Lin-Lu-Yau has been widely studied from various perspectives, especially geometric analysis. In the present paper, we discu…
Upper bounds for higher-order Poincar'e constants
Kei Funano, Yohei Sakurai
We introduce higher-order Poincar'e constants for compact weighted manifolds and estimate them from above in terms of subsets. These estimates imply upper bounds for eigenvalues of…
Concentration of eigenfunctions of the Laplacian on a closed Riemannian manifold
Kei Funano, Yohei Sakurai
We study concentration phenomena of eigenfunctions of the Laplacian on closed Riemannian manifolds. We prove that the volume measure of a closed manifold concentrates around nodal…
Concentration of -Lipschitz functions on manifolds with boundary with Dirichlet boundary condition
Yohei Sakurai
In this paper, we consider a concentration of measure problem on Riemannian manifolds with boundary. We study concentration phenomena of non-negative -Lipschitz functions with D…
One dimensional weighted Ricci curvature and displacement convexity of entropies
Yohei Sakurai
In the present paper, we prove that a lower bound on the -weighted Ricci curvature is equivalent to a convexity of entropies on the Wasserstein space. Based on such characteriza…
Comparison geometry of manifolds with boundary under a lower weighted Ricci curvature bound
Yohei Sakurai
We study Riemannian manifolds with boundary under a lower weighted Ricci curvature bound. We consider a curvature condition in which the weighted Ricci curvature is bounded from be…
Rigidity phenomena in manifolds with boundary under a lower weighted Ricci curvature bound
Yohei Sakurai
We study Riemannian manifolds with boundary under a lower -weighted Ricci curvature bound for at most , and under a lower weighted mean curvature bound for the boundary.…
Rigidity of manifolds with boundary under a lower Bakry-E'mery Ricci curvature bound
Yohei Sakurai
We study Riemannian manifolds with boundary under a lower Bakry-E'mery Ricci curvature bound. In our weighted setting, we prove several rigidity theorems for such manifolds with bo…