Existence, Regularity, and Properties of Generalized Apparent Horizons
Differential Geometry
2015-05-13 v3
Abstract
We prove a conjecture of Tom Ilmanen's and Hubert Bray's regarding the existence of the outermost generalized apparent horizon in an initial data set and that it is outer area minimizing.
Cite
@article{arxiv.0805.4454,
title = {Existence, Regularity, and Properties of Generalized Apparent Horizons},
author = {Michael Eichmair},
journal= {arXiv preprint arXiv:0805.4454},
year = {2015}
}
Comments
16 pages, thoroughly revised, no major changes, to appear in Comm. Math. Phys