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arXiv · 1011.1570

Area minimizers and boundary rigidity of almost hyperbolic metrics

Dmitri Burago·Sergei Ivanov
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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.

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Dmitri Burago, Sergei Ivanov. 2010-11-06. Area minimizers and boundary rigidity of almost hyperbolic metrics. https://doi.org/10.1215/00127094-2142529

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