双曲半空间中毛细超曲面的heintze - karcher型不等式

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-03-31 DOI:10.1016/j.jfa.2025.110970

Yingxiang Hu , Yong Wei , Chao Xia , Tailong Zhou

{"title":"双曲半空间中毛细超曲面的heintze - karcher型不等式","authors":"Yingxiang Hu , Yong Wei , Chao Xia , Tailong Zhou","doi":"10.1016/j.jfa.2025.110970","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we establish a Heintze-Karcher-type inequality for compact embedded capillary hypersurfaces in a hyperbolic half-space. The proof is based on a geodesic normal map flow with respect to a Finsler metric of Randers-type induced by a special Zermelo's navigation data. As an application, we obtain an Alexandrov-type theorem for compact embedded capillary hypersurfaces of constant higher-order mean curvature in a hyperbolic half-space.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 6","pages":"Article 110970"},"PeriodicalIF":1.7000,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Heintze-Karcher-type inequality for capillary hypersurfaces in a hyperbolic half-space\",\"authors\":\"Yingxiang Hu , Yong Wei , Chao Xia , Tailong Zhou\",\"doi\":\"10.1016/j.jfa.2025.110970\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this paper, we establish a Heintze-Karcher-type inequality for compact embedded capillary hypersurfaces in a hyperbolic half-space. The proof is based on a geodesic normal map flow with respect to a Finsler metric of Randers-type induced by a special Zermelo's navigation data. As an application, we obtain an Alexandrov-type theorem for compact embedded capillary hypersurfaces of constant higher-order mean curvature in a hyperbolic half-space.</div></div>\",\"PeriodicalId\":15750,\"journal\":{\"name\":\"Journal of Functional Analysis\",\"volume\":\"289 6\",\"pages\":\"Article 110970\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2025-03-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Functional Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022123625001521\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Functional Analysis","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022123625001521","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文建立了双曲半空间中紧嵌毛管超曲面的heintze - karcher型不等式。该证明是基于一种特殊的Zermelo导航数据导出的关于randers型Finsler度量的测地线法线映射流。作为应用，我们得到了双曲半空间中具有常高阶平均曲率的紧嵌毛细超曲面的alexandrov型定理。

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

A Heintze-Karcher-type inequality for capillary hypersurfaces in a hyperbolic half-space

In this paper, we establish a Heintze-Karcher-type inequality for compact embedded capillary hypersurfaces in a hyperbolic half-space. The proof is based on a geodesic normal map flow with respect to a Finsler metric of Randers-type induced by a special Zermelo's navigation data. As an application, we obtain an Alexandrov-type theorem for compact embedded capillary hypersurfaces of constant higher-order mean curvature in a hyperbolic half-space.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis