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Area minimizers and boundary rigidity of almost hyperbolic metrics. / Burago, Dmitri; Ivanov, Sergei.

In: Duke Mathematical Journal, Vol. 162, No. 7, 01.05.2013, p. 1205-1248.

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Burago, D & Ivanov, S 2013, 'Area minimizers and boundary rigidity of almost hyperbolic metrics', Duke Mathematical Journal, vol. 162, no. 7, pp. 1205-1248. https://doi.org/10.1215/00127094-2142529

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Burago, Dmitri ; Ivanov, Sergei. / Area minimizers and boundary rigidity of almost hyperbolic metrics. In: Duke Mathematical Journal. 2013 ; Vol. 162, No. 7. pp. 1205-1248.

BibTeX

@article{be9db6728dfb499e94eade2111360be9,
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,
day = "1",
doi = "10.1215/00127094-2142529",
language = "English",
volume = "162",
pages = "1205--1248",
journal = "Duke Mathematical Journal",
issn = "0012-7094",
publisher = "Duke University Press",
number = "7",

}

RIS

TY - JOUR

T1 - Area minimizers and boundary rigidity of almost hyperbolic metrics

AU - Burago, Dmitri

AU - Ivanov, Sergei

PY - 2013/5/1

Y1 - 2013/5/1

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

U2 - 10.1215/00127094-2142529

DO - 10.1215/00127094-2142529

M3 - Article

AN - SCOPUS:84880300124

VL - 162

SP - 1205

EP - 1248

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

SN - 0012-7094

IS - 7

ER -

ID: 49983231