PROOF OF THE RIGIDITY OF HYPERBOLIC SPACES USING QUASILOCAL MASS TYPE THEOREMS

PENGZI MIAO

doi:10.1142/S0219891605000543

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PROOF OF THE RIGIDITY OF HYPERBOLIC SPACES USING QUASILOCAL MASS TYPE THEOREMS

Journal article

Peer reviewed

PROOF OF THE RIGIDITY OF HYPERBOLIC SPACES USING QUASILOCAL MASS TYPE THEOREMS

PENGZI MIAO

Journal of hyperbolic differential equations, Vol.2(2), pp.471-479

2005-06

DOI: https://doi.org/10.1142/S0219891605000543

Abstract

hyperbolic spaces

Rigidity

A proof of the rigidity of hyperbolic spaces is given for a class of conformally compact manifolds whose conformal infinity is the standard sphere. The method is based on quasilocal mass type theorems in general relativity.

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Citation topics: 9 Mathematics; 9.50 Applied Statistics & Probability; 9.50.415 Harmonic Maps
Web Of Science research areas: Mathematics, Applied; Physics, Mathematical
ESI research areas: Mathematics

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Details

Title: PROOF OF THE RIGIDITY OF HYPERBOLIC SPACES USING QUASILOCAL MASS TYPE THEOREMS
Creators: PENGZI MIAO - Department of Mathematics, University of California, Santa Barbara, 93117, USA
Publication Details: Journal of hyperbolic differential equations, Vol.2(2), pp.471-479
Publisher: World Scientific Publishing Company
Academic Unit: College of A&S; A&S - Mathematics
Language: English
Resource Type: Journal article
Record Identifier: 991031562832102976