Existence, Regularity, and Properties of Generalized Apparent Horizons

Details Existence, Regularity, and Properties of Generalized Apparent Horizons Existence, Regularity, and Properties of Generalized Apparent Horizons

2008-05-29

arxiv.org/abs/0805.4454v3

Mathematics

Differential Geometry

16 pages, thoroughly revised, no major changes, to appear in Comm. Math. Phys

Scientific paper

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.

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