AdS-Schwarzschild流形中的一类逆商曲率流

IF 1.2 4区数学 Q1 MATHEMATICS Acta Mathematica Scientia Pub Date : 2023-11-06 DOI:10.1007/s10473-023-0614-5

Zhengchao Ji

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引用次数: 0

摘要

本文研究了反de Sitter—Schwarzschild流形中一类逆商曲率流的渐近性态。我们证明了在初始超曲面的适当凸条件下，可以得到反曲率流的长期存在性。此外，我们还得到当t为1时，演化超曲面的主曲率收敛到1→ +∞.

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A class of inverse quotient curvature flow in the AdS-Schwarzschild manifold

In this paper, we study the asymptotic behavior of a class of inverse quotient curvature flow in the anti-de Sitter-Schwarzschild manifold. We prove that under suitable convex conditions for the initial hypersurface, one can get the long-time existence for the inverse curvature flow. Moreover, we also get that the principal curvatures of the evolving hypersurface converge to 1 when t → +∞.

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来源期刊

Acta Mathematica Scientia 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

2614

审稿时长

6 months

期刊介绍： Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981. The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.