AREA MINIMIZERS AND BOUNDARY RIGIDITY OF ALMOST HYPERBOLIC METRICS

作者:Burago Dmitri*; Ivanov Sergei
来源:Duke Mathematical Journal, 2013, 162(7): 1205-1248.
DOI:10.1215/00127094-2142529

摘要

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.

  • 出版日期2013-5-15