Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Sakurai, Yohei"'
Autor:
Fujitani, Yasuaki, Sakurai, Yohei
We develop geometric analysis on weighted Riemannian manifolds under lower $0$-weighted Ricci curvature bounds. Under such curvature bounds, we prove a first Steklov eigenvalue estimate of Wang-Xia type on compact weighted manifolds with boundary, an
Externí odkaz:
http://arxiv.org/abs/2408.15744
Autor:
Kunikawa, Keita, Sakurai, Yohei
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 theorems that have been established by Bamler for Ricci flow. As a by
Externí odkaz:
http://arxiv.org/abs/2309.11882
Let $V$ be a $C^1$-vector field on an $n$-dimensional complete Riemannian manifold $(M, g)$. We prove a Liouville theorem for $V$-harmonic maps satisfying various growth conditions from complete Riemannian manifolds with non-negative $(m, V)$-Ricci c
Externí odkaz:
http://arxiv.org/abs/2309.06820
Autor:
Sakurai, Yohei
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-Schoen energy admits a unique minimizer.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/2208.07150
Autor:
Kunikawa, Keita, Sakurai, Yohei
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 some of their results to super Ricci flow whose Muller quantity is non-n
Externí odkaz:
http://arxiv.org/abs/2201.11361
Autor:
Kunikawa, Keita, Sakurai, Yohei
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-positively curved target spaces, our growth condition is sharp. For posi
Externí odkaz:
http://arxiv.org/abs/2104.05191
Autor:
Kunikawa, Keita, Sakurai, Yohei
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. Under a similar setting, we also formulate a Souplet-Zhang type gradient
Externí odkaz:
http://arxiv.org/abs/2012.09374
Publikováno v:
In Stochastic Processes and their Applications February 2024 168
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 provide a von Renesse-Sturm type characterization of our lower Ricci curv
Externí odkaz:
http://arxiv.org/abs/2011.11418
Autor:
Kuwae, Kazuhiro, Sakurai, Yohei
We study comparison geometry of manifolds with boundary under a lower $N$-weighted Ricci curvature bound for $N\in ]-\infty,1]\cup [n,+\infty]$ with $\varepsilon$-range introduced by Lu-Minguzzi-Ohta. We will conclude splitting theorems, and also com
Externí odkaz:
http://arxiv.org/abs/2011.03730