Existence, Regularity, and Properties of Generalized Apparent Horizons

By M. Eichmair. 2008

56 citations recorded by the source corpus.

We prove a conjecture of Tom Ilmanen and Hubert Bray on the existence of the outermost generalized apparent horizon in an initial data set and that it is outer area minimizing.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d4cbad8f1ae97273b8db9a5fb8f80c37c312d221

Citations in the corpus

• Present status of the Penrose inequality (2009, unknown): “The expression for £~l−θ+ follows from (7) by interchanging + ↔ − and substituting SA → −SA (see formula (6) above).”