This volume presents the proceedings of the Southeast Geometry Seminar for the meetings that took place bi-annually between the fall of 2009 and the fall of 2011, at Emory University, Georgia Institute of Technology, University of Alabama Birmingham, and the University of Tennessee. Talks at the seminar are devoted to various aspects of geometric analysis and related fields, in particular, nonlinear partial differential equations, general relativity, and geometric topology. Articles in this volume cover the following topics: a new set of axioms for General Relativity, CR manifolds, the Mane Conjecture, minimal surfaces, maximal measures, pendant drops, the Funk-Radon-Helgason method, ADM-mass and capacity, and extrinsic curvature in metric spaces.
On dark matter, spiral galaxies, and the axioms of general relativity by
H. L. Bray Embedded three-dimensional CR manifolds and the non-negativity of
Paneitz operators by S. Chanillo, H.-L. Chiu, and P. Yang Aubry sets,
Hamilton-Jacobi equations, and the Mane conjecture by A. Figalli and L.
Rifford Minimal surfaces and eigenvalue problems by A. Fraser and R. Schoen
On the maximal measure of sections of the $n$-cube by H. Konig and A.
Koldobsky Extremities of stability for pendant drops by J. McCuan On the
Funk-Radon-Helgason inversion method in integral geometry by B. Rubin
Inequalities for the ADM-mass and capacity of asymptotically flat manifolds
with minimal boundary by F. Schwartz Bounded extrinsic curvature of subsets
of metric spaces by J. Wong
Mohammad Ghomi, Georgia Institute of Technology, Atlanta, GA, USA
Junfang Li, University of Alabama at Birmingham, AL, USA
John McCuan, Georgia Institute of Technology, Atlanta, GA, USA
Vladimir Oliker, Emory University, Atlanta, GA, USA
Fernando Schwartz, University of Tennessee, Knoxville, TN, USA
Gilbert Weinstein, University of Alabama at Birmingham, AL, USA
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