Area minimizers and boundary rigidity of almost hyperbolic metrics

Details Area minimizers and boundary rigidity of almost hyperbolic metrics Area minimizers and boundary rigidity of almost hyperbolic metrics

2010-11-06

arxiv.org/abs/1011.1570v1

Mathematics

Differential Geometry

30 pages

Scientific paper

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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