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math.DG2026
A remark on the compactness of manifolds with non-negative Ricci curvature and uniformly convex boundary
Yasuaki Fujitani
Yan-Zhu (arXiv:2605.31477) showed the compactness of complete Riemannian manifolds with non-negative Ricci curvature and uniformly convex boundary. In this paper, we give an altern…
math.DG2025
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.DG2024
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…