Scalar-mean rigidity theorem for compact manifolds with boundary

Autor:	Wang, Jinmin, Wang, Zhichao, Zhu, Bo
Rok vydání:	2024
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	We prove a scalar-mean rigidity theorem for compact Riemannian manifolds with boundary in dimension less than five by extending Schoen-Yau dimension reduction argument. As a corollary, we prove the sharp spherical radius rigidity theorem and best NNSC fill-in in terms of the mean curvature. Additionally, we prove a (Lipschitz) Listing type scalar-mean comparison rigidity theorem for these dimensions. Our results remove the spin assumption. Comment: 33 pages; minor changes
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.14503 Zobrazit plný text záznamu View this record from Arxiv