Geometric Analysis, Mathematical Relativity and Nonlinear Partial Differential Equations

Mohammad Ghomi, Junfang Li, John McCuan, Vladimir Oliker, Fernando Schwartz (Herausgeber)

Buch | Softcover

254 Seiten

2013
American Mathematical Society (Verlag)
978-0-8218-9149-0 (ISBN)

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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.

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

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

Reihe/Serie	Contemporary Mathematics
Verlagsort	Providence
Sprache	englisch
Gewicht	456 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8218-9149-9 / 0821891499
ISBN-13	978-0-8218-9149-0 / 9780821891490
Zustand	Neuware