Existence, Regularity, and Properties of Generalized Apparent Horizons

Mathematics – Differential Geometry

Scientific paper

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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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