4 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…
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…
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…
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…