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

12 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

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10.1215/00127094-2142529

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

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Area minimizers and boundary rigidity of almost hyperbolic metrics

Abstract

All Science Journal Classification (ASJC) codes

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