GEOMETRIC INEQUALITIES FOR STATIC CONVEX DOMAINS IN HYPERBOLIC SPACE

Yingxiang Hu; Haizhong Li

doi:10.1090/tran/8628

GEOMETRIC INEQUALITIES FOR STATIC CONVEX DOMAINS IN HYPERBOLIC SPACE

Yingxiang Hu
, Haizhong Li

数学科学学院

Tsinghua University

科研成果: 期刊稿件 › 文章 › 同行评审

26 引用（Scopus）

摘要

We prove that the static convexity is preserved along two kinds of locally constrained curvature flows in hyperbolic space. Using the static convexity of the flow hypersurfaces, we prove new family of geometric inequalities for such hypersurfaces in hyperbolic space.

源语言	英语
页（从-至）	5587-5615
页数	29
期刊	Transactions of the American Mathematical Society
卷	375
期	8
DOI	https://doi.org/10.1090/tran/8628
出版状态	已出版 - 1 8月 2022

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title = "GEOMETRIC INEQUALITIES FOR STATIC CONVEX DOMAINS IN HYPERBOLIC SPACE",

abstract = "We prove that the static convexity is preserved along two kinds of locally constrained curvature flows in hyperbolic space. Using the static convexity of the flow hypersurfaces, we prove new family of geometric inequalities for such hypersurfaces in hyperbolic space.",

keywords = "geometric inequality, hyperbolic space, Locally constrained curvature flow, static convex",

author = "Yingxiang Hu and Haizhong Li",

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N2 - We prove that the static convexity is preserved along two kinds of locally constrained curvature flows in hyperbolic space. Using the static convexity of the flow hypersurfaces, we prove new family of geometric inequalities for such hypersurfaces in hyperbolic space.

AB - We prove that the static convexity is preserved along two kinds of locally constrained curvature flows in hyperbolic space. Using the static convexity of the flow hypersurfaces, we prove new family of geometric inequalities for such hypersurfaces in hyperbolic space.

KW - geometric inequality

KW - hyperbolic space

KW - Locally constrained curvature flow

KW - static convex

UR - https://www.scopus.com/pages/publications/85131274232

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DO - 10.1090/tran/8628

M3 - 文章

AN - SCOPUS:85131274232

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GEOMETRIC INEQUALITIES FOR STATIC CONVEX DOMAINS IN HYPERBOLIC SPACE

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