Geometry of three manifolds and existence of Black Hole due to boundary effect
| dc.creator | Yau, Shing-Tung | |
| dc.date | 2001-09-07 | |
| dc.date | 2002-02-28 | |
| dc.date.accessioned | 2026-07-07T04:43:18Z | |
| dc.date.available | 2026-07-07T04:43:18Z | |
| dc.description | In this paper, we observe that the brane functional studied in hep-th/9910245 can be used to generalize some of the works that Schoen and I [4] did many years ago. The key idea is that if a three dimensional manifold M has a boundary with strongly positive mean curvature, the effect of this mean curvature can influence the internal geometry of M. For example, if the scalar curvature of M is greater than certain constant related to this boundary effect, no incompressible surface of higher genus can exist. | |
| dc.description | LaTeX 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0109053 | |
| dc.identifier | http://arxiv.org/abs/math/0109053 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62163 | |
| dc.subject | Differential Geometry | |
| dc.title | Geometry of three manifolds and existence of Black Hole due to boundary effect | |
| dc.type | text |