Journal
DUKE MATHEMATICAL JOURNAL
Volume 162, Issue 7, Pages 1205-1248Publisher
DUKE UNIV PRESS
DOI: 10.1215/00127094-2142529
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Funding
- National Science Foundation [DMS-0604113, DMS-0412166]
- Dynasty Foundation
- Russian Foundation for Basic Research [08-01-00079-a, 09-01-12130-ofi-m]
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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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