Locally constrained inverse curvature flow and Hu–Li’s conjecture

IF 0.6 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2024-09-05 DOI:10.1007/s10455-024-09968-7

Kuicheng Ma

引用次数: 0

Abstract

In this paper, an Alexandrov–Fenchel inequality is established for closed 2-convex spacelike hypersurface in de Sitter space by investigating the behavior of some locally constrained inverse curvature flow, which provides a partial answer to the conjecture raised by Hu and Li in (Adv Math 413:108826, 2023).

查看原文本刊更多论文

局部约束反曲率流和胡李猜想

本文通过研究一些局部约束反曲率流的行为，建立了德西特空间中封闭 2 凸空间似超曲面的亚历山德罗夫-芬切尔不等式，从而部分回答了胡和李在（Adv Math 413:108826, 2023）中提出的猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.