黎曼流形上狄利克雷热流的凹性不保持

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-07-24 DOI:10.1016/j.aim.2025.110439

Kazuhiro Ishige, Asuka Takatsu, Haruto Tokunaga

引用次数: 0

摘要

证明了在黎曼流形的全凸域上，除非截面曲率处处消失，否则狄利克雷热流不保持凹性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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

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.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.