Open AccessBoundary rigidity of convex cocompact real hyperbolic manifolds
Author(s) -
Инканг Ким
Publication year - 2020
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/15373
Subject(s) - rigidity (electromagnetism) , regular polygon , boundary (topology) , mathematics , pure mathematics , hyperbolic 3 manifold , hyperbolic manifold , hyperbolic group , mathematical analysis , geometry , hyperbolic function , structural engineering , engineering
The goal of this short paper is to show that the hyperbolic metric is uniquely determined by the induced metric on the strictly convex smooth boundary for dimension ≥ 4 \geq 4 .
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