4.5 Article

AREA MINIMIZERS AND BOUNDARY RIGIDITY OF ALMOST HYPERBOLIC METRICS

Journal

DUKE MATHEMATICAL JOURNAL
Volume 162, Issue 7, Pages 1205-1248

Publisher

DUKE UNIV PRESS
DOI: 10.1215/00127094-2142529

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Funding

  1. National Science Foundation [DMS-0604113, DMS-0412166]
  2. Dynasty Foundation
  3. 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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