AREA MINIMIZERS AND BOUNDARY RIGIDITY OF ALMOST HYPERBOLIC METRICS

被引：9

作者：

Burago, Dmitri ^{[1
]}

Ivanov, Sergei ^{[2
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Steklov Math Inst, St Petersburg Dept, St Petersburg 191023, Russia

来源：

DUKE MATHEMATICAL JOURNAL | 2013年 / 162卷 / 07期

基金：

美国国家科学基金会; 俄罗斯基础研究基金会;

关键词：

RIEMANNIAN-MANIFOLDS; ASYMPTOTIC VOLUME; FILLING VOLUME; SPACES; DISTANCE; SURFACES; POINTS; TORI;

D O I：

10.1215/00127094-2142529

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is a continuation of our paper about boundary rigidity and filling minimality of metrics close to flat ones. We show that compact regions close to a hyperbolic one are boundary distance rigid and strict minimal fillings. We also provide a more invariant view on the approach used in the above-mentioned paper.

引用

页码：1205 / 1248

页数：44

共 16 条

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