The mass of asymptotically hyperbolic Riemannian manifolds

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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 conformally compactifiable manifolds are unique.
27 pages, Latex2e with several style files; various misprints corrected, positivity theorem for black holes considerably strengthened, to appear in Pacific Jour. of Mathematics

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Differential Geometry, Mathematical Physics, 53c20; 83c40

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http://salesiana.dossiersoluciones.com/handle/123456789/62309

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0110035
 http://arxiv.org/abs/math/0110035

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arXiv