The Mass of Asymptotically Hyperbolic Riemannian Manifolds

@inproceedings{Chruciel2001TheMO,
  title={The Mass of Asymptotically Hyperbolic Riemannian Manifolds},
  author={Piotr T. Chruściel and Marc Herzlich},
  year={2001}
}
We present a set of global invariants, called “mass integrals”, which can be defined for a large class of asymptotically hyperbolic Riemannian manifolds. When the “boundary at infinity” has spherical topology one single invariant is obtained, called the mass; we show positivity thereof. We apply the definition to conformally compactifiable manifolds, and show that the mass is completion-independent. We also prove the result, closely related to the problem at hand, that conformal completions of… CONTINUE READING
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Complete Riemannian manifolds with imaginary Killing spinors

H. Baum
Ann. Glob. Anal. Geom., 7 • 1989
View 5 Excerpts
Highly Influenced

Mass for asymptotically hyperbolic manifolds

X. Wang
J. Differential Geom., 57 • 2001
View 4 Excerpts
Highly Influenced

Black hole in three-dimensional spacetime.

Physical review letters • 1992
View 2 Excerpts
Highly Influenced

Spineurs harmoniques

A. Lichnerowicz
C.R. Acad. Sci. Paris Sér. A-B, 257 • 1963
View 2 Excerpts
Highly Influenced

A definition of total energy-momenta and the positive mass theorem on asymptotically hyperbolic 3 manifolds I

X. Zhang
Preprint, 2001. Received October 2, 2001 and revised March 7 • 2003
View 2 Excerpts

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