The mass of asymptotically hyperbolic Riemannian manifolds
| dc.creator | Chrusciel, Piotr T. | |
| dc.creator | Herzlich, Marc | |
| dc.date | 2001-10-03 | |
| dc.date | 2003-10-13 | |
| dc.date.accessioned | 2026-07-07T04:43:38Z | |
| dc.date.available | 2026-07-07T04:43:38Z | |
| dc.description | 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. | |
| dc.description | 27 pages, Latex2e with several style files; various misprints corrected, positivity theorem for black holes considerably strengthened, to appear in Pacific Jour. of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0110035 | |
| dc.identifier | http://arxiv.org/abs/math/0110035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62309 | |
| dc.subject | Differential Geometry | |
| dc.subject | Mathematical Physics | |
| dc.subject | 53c20; 83c40 | |
| dc.title | The mass of asymptotically hyperbolic Riemannian manifolds | |
| dc.type | text |