Constant mean curvature foliations of simplicial flat spacetimes
| dc.creator | Andersson, Lars | |
| dc.date | 2003-07-25 | |
| dc.date.accessioned | 2026-07-07T04:59:53Z | |
| dc.date.available | 2026-07-07T04:59:53Z | |
| dc.description | Benedetti and Guadagnini have conjectured that the marked lenght spectrum of the constant mean curvature foliation $M_τ$ in a 2+1 dimensional flat spacetime $V$ with compact hyperbolic Cauchy surfaces converges, in the direction of the singularity, to that of the marked measure spectrum of the R-tree dual to the measured foliation corresponding to the translational part of the holonomy of $V$. We prove that this is the case for $n+1$ dimensional, $n \geq 2$, {\em simplicial} flat spacetimes with compact hyperbolic Cauchy surface. A simplicial spacetime is obtained from the Lorentz cone over a hyperbolic manifold by deformations corresponding to a simple measured foliation. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0307338 | |
| dc.identifier | http://arxiv.org/abs/math/0307338 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68172 | |
| dc.subject | Differential Geometry | |
| dc.title | Constant mean curvature foliations of simplicial flat spacetimes | |
| dc.type | text |