2 papers
math.DG2026
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…
math.DG2025
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…