Willmore inequality on hypersurfaces in hyperbolic space

Yingxiang Hu

doi:10.1090/proc/13968

Willmore inequality on hypersurfaces in hyperbolic space

Yingxiang Hu^*

^*此作品的通讯作者

Tsinghua University

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

In this article, we prove a geometric inequality for star-shaped and mean-convex hypersurfaces in hyperbolic space by inverse mean curvature flow. This inequality can be considered as a generalization of Willmore inequality for a closed surface in hyperbolic 3-space.

源语言	英语
页（从-至）	2679-2688
页数	10
期刊	Proceedings of the American Mathematical Society
卷	146
期	6
DOI	https://doi.org/10.1090/proc/13968
出版状态	已出版 - 2018
已对外发布	是

访问文件

10.1090/proc/13968

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{9f6752a8723f4305acf0565df0ef91c2,

title = "Willmore inequality on hypersurfaces in hyperbolic space",

abstract = "In this article, we prove a geometric inequality for star-shaped and mean-convex hypersurfaces in hyperbolic space by inverse mean curvature flow. This inequality can be considered as a generalization of Willmore inequality for a closed surface in hyperbolic 3-space.",

keywords = "Hyperbolic space, Inverse curvature flow, Willmore inequality",

author = "Yingxiang Hu",

note = "Publisher Copyright: {\textcopyright} 2018 Amerian Mathematial Soiety.",

year = "2018",

doi = "10.1090/proc/13968",

language = "英语",

volume = "146",

pages = "2679--2688",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "6",

}

TY - JOUR

T1 - Willmore inequality on hypersurfaces in hyperbolic space

AU - Hu, Yingxiang

PY - 2018

Y1 - 2018

N2 - In this article, we prove a geometric inequality for star-shaped and mean-convex hypersurfaces in hyperbolic space by inverse mean curvature flow. This inequality can be considered as a generalization of Willmore inequality for a closed surface in hyperbolic 3-space.

AB - In this article, we prove a geometric inequality for star-shaped and mean-convex hypersurfaces in hyperbolic space by inverse mean curvature flow. This inequality can be considered as a generalization of Willmore inequality for a closed surface in hyperbolic 3-space.

KW - Hyperbolic space

KW - Inverse curvature flow

KW - Willmore inequality

UR - https://www.scopus.com/pages/publications/85044380553

U2 - 10.1090/proc/13968

DO - 10.1090/proc/13968

M3 - 文章

AN - SCOPUS:85044380553

SN - 0002-9939

VL - 146

SP - 2679

EP - 2688

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 6

ER -

Willmore inequality on hypersurfaces in hyperbolic space

摘要

访问文件

其它文件与链接

学术指纹

引用此