Area minimizers and boundary rigidity of almost hyperbolic metrics

Dmitri Burago; Sergei Ivanov

doi:10.1215/00127094-2142529

Area minimizers and boundary rigidity of almost hyperbolic metrics

Dmitri Burago, Sergei Ivanov

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1205-1248
Number of pages	44
Journal	Duke Mathematical Journal
Volume	162
Issue number	7
DOIs	https://doi.org/10.1215/00127094-2142529
State	Published - May 2013

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1215/00127094-2142529

Cite this

@article{3d660fe47e8343fd9fbc98f5af608e4c,

title = "Area minimizers and boundary rigidity of almost hyperbolic metrics",

abstract = "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.",

author = "Dmitri Burago and Sergei Ivanov",

year = "2013",

month = may,

doi = "10.1215/00127094-2142529",

language = "English (US)",

volume = "162",

pages = "1205--1248",

journal = "Duke Mathematical Journal",

issn = "0012-7094",

publisher = "Duke University Press",

number = "7",

}

TY - JOUR

T1 - Area minimizers and boundary rigidity of almost hyperbolic metrics

AU - Burago, Dmitri

AU - Ivanov, Sergei

PY - 2013/5

Y1 - 2013/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84880300124&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84880300124&partnerID=8YFLogxK

U2 - 10.1215/00127094-2142529

DO - 10.1215/00127094-2142529

M3 - Article

AN - SCOPUS:84880300124

SN - 0012-7094

VL - 162

SP - 1205

EP - 1248

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 7

ER -

Area minimizers and boundary rigidity of almost hyperbolic metrics

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this