Open AccessBoundary rigidity of convex cocompact real hyperbolic manifolds
Author(s) -
Инканг Ким
Publication year - 2021
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) - regular polygon , boundary (topology) , ellipsoid , annotation , metric (unit) , rigidity (electromagnetism) , semantics (computer science) , dimension (graph theory) , computer science , algorithm , mathematics , artificial intelligence , pure mathematics , mathematical analysis , geometry , geology , materials science , programming language , operations management , geodesy , economics , composite material
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 .