Constant mean curvature foliations of flat space--times
| dc.creator | Andersson, Lars | |
| dc.date | 2001-10-22 | |
| dc.date.accessioned | 2026-07-07T06:33:35Z | |
| dc.date.available | 2026-07-07T06:33:35Z | |
| dc.description | Let $V$ be a maximal globally hyperbolic flat $n+1$--dimensional space--time with compact Cauchy surface of hyperbolic type. We prove that $V$ is globally foliated by constant mean curvature hypersurfaces $M_τ$, with mean curvature $τ$ taking all values in $(-\infty, 0)$. For $n \geq 3$, define the rescaled volume of $M_τ$ by $\Ham = |τ|^n \Vol(M,g)$, where $g$ is the induced metric. Then $\Ham \geq n^n \Vol(M,g_0)$ where $g_0$ is the hyperbolic metric on $M$ with sectional curvature -1. Equality holds if and only if $(M,g)$ is isometric to $(M,g_0)$. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0110245 | |
| dc.identifier | http://arxiv.org/abs/math/0110245 | |
| dc.identifier | Comm. Anal. Geom. vol. 10, pp. 1094-1115, 2002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99240 | |
| dc.subject | Differential Geometry | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Constant mean curvature foliations of flat space--times | |
| dc.type | text |