MATH Seminar

Title: The Riemannian Penrose inequality revisited
Colloquium: Analysis and Differential Geometry
Speaker: Professor Gilbert Weinstein of University of Alabama at Birmingham
Contact: Vladimir Oliker, oliker@mathcs.emory.edu
Date: 2010-02-26 at 3:00PM
Venue: MSC W301
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Abstract: We present an alternative proof of the Riemannian Penrose inequality using a different conformal flow based on the conformal Laplacian instead of the Laplacian used in H. Bray's original argument. The flow fixes the mass and increases the area of the outermost horizon rather than vice versa. Our main motivation for this modified argument is our plan to adapt it to prove a version of the Riemannian Penrose inequality taking charge into account. A counter example we previously constructed shows that Bray's original argument is not suitable to prove this charged version of the inequality.