The Mass of Asymptotically Hyperbolic Riemannian Manifolds

  title={The Mass of Asymptotically Hyperbolic Riemannian Manifolds},
  author={Piotr T. Chruściel and Marc Herzlich},
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
Highly Cited
This paper has 90 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.


Publications citing this paper.


Publications referenced by this paper.
Showing 1-10 of 36 references

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

Similar Papers

Loading similar papers…