Area minimizers and boundary rigidity of almost hyperbolic metrics
Differential Geometry
2019-12-19 v2
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.
Keywords
Cite
@article{arxiv.1011.1570,
title = {Area minimizers and boundary rigidity of almost hyperbolic metrics},
author = {Dmitri Burago and Sergei Ivanov},
journal= {arXiv preprint arXiv:1011.1570},
year = {2019}
}
Comments
32 pages, v2: various corrections and clarifications