Non-preservation of concavity properties by the Dirichlet heat flow on Riemannian manifolds

Autor:	Ishige, Kazuhiro, Takatsu, Asuka, Tokunaga, Haruto
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs Mathematics - Differential Geometry 35E10 58J35
Druh dokumentu:	Working Paper
Popis:	We prove that no concavity properties are preserved by the Dirichlet heat flow in a totally convex domain of a Riemannian manifold unless the sectional curvature vanishes everywhere on the domain. Comment: 18 pages. Comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.03982 Zobrazit plný text záznamu View this record from Arxiv