scholarly journals Dynamics and Zeta functions on conformally compact manifolds

2014 ◽  
Vol 367 (4) ◽  
pp. 2459-2486
Author(s):  
Julie Rowlett ◽  
Pablo Suárez-Serrato ◽  
Samuel Tapie
Keyword(s):  
Zeta Functions ◽  
Compact Manifolds ◽  
Conformally Compact

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

2005 ◽  
Vol 02 (02) ◽  
pp. 471-479
Author(s):  
PENGZI MIAO
Keyword(s):  
General Relativity ◽  
Hyperbolic Spaces ◽  
Compact Manifolds ◽  
Standard Sphere ◽  
Conformally Compact ◽  
Quasilocal Mass ◽  
Mass Type

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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