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Geometric analysis, mathematical relativity, and nonlinear partial differential equations : [electronic resource] Southeast Geometry Seminars Emory University, Georgia Institute of Technology, University of Alabama, Birmingham, and the University of Tennessee, 2009-2011 / Mohammad Ghomi, Junfang Li, John McCuan, Vladimir Oliker, Fernando Schwartz, Gilbert Weinstein, editors.

By: (15th : Southeast Geometry Seminar (15th : 2009 : University of Alabama at Birmingham).

Contributor(s): Ghomi, Mohammad, 1969-.

Material type: materialTypeLabel

BookSeries: Contemporary mathematics, v. 599.Publisher: Providence, Rhode Island : American Mathematical Society, [2013]Description: 1 online resource (vii, 243 pages : illustrations).Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470410810 (online).Subject(s): Global differential geometry -- Congresses | Differential operators -- Congresses | CR submanifolds -- Congresses | Differential geometry -- Global differential geometry -- Global differential geometry | Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Partial differential equations on manifolds; differential operators | Several complex variables and analytic spaces -- CR manifolds -- CR structures, CR operators, and generalizations | Several complex variables and analytic spaces -- CR manifolds -- Analysis on CR manifolds | Integral transforms, operational calculus -- Integral transforms, operational calculus -- Radon transform | Convex and discrete geometry -- General convexity -- Convex sets in $n$ dimensions (including convex hypersurfaces) | Partial differential equations -- General first-order equations and systems -- Hamilton-Jacobi equations | Calculus of variations and optimal control; optimization -- Hamilton-Jacobi theories, including dynamic programming -- Viscosity solutions | Fluid mechanics -- Incompressible viscous fluids -- Capillarity (surface tension) | Calculus of variations and optimal control; optimization -- Manifolds -- Optimization of shapes other than minimal surfaces | Operator theory -- Integral, integro-differential, and pseudodifferential operators -- Integral operatorsAdditional physical formats: Geometric analysis, mathematical relativity, and nonlinear partial differential equations :DDC classification: 516.3/62 Other classification: 53CXX | 58JXX | 32V05 | 32V20 | 44A12 | 52A20 | 35F21 | 49L25 | 76D45 | 49Q10 | 47G10 Online resources: Contents | Contents

Contents:

On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity / Hubert L. Bray -- http://www.ams.org/conm/599/ http://dx.doi.org/10.1090/conm/599/11945 Embedded three-dimensional CR manifolds and the non-negativity of Paneitz operators / Sagun Chanillo, Hung-Lin Chiu and Paul Yang -- http://www.ams.org/conm/599/ http://dx.doi.org/10.1090/conm/599/11905 Aubry sets, Hamilton-Jacobi equations, and the Ma�n�e Conjecture / A. Figalli and L. Rifford -- http://www.ams.org/conm/599/ http://dx.doi.org/10.1090/conm/599/11906 Minimal surfaces and eigenvalue problems / Ailana Fraser and Richard Schoen -- http://www.ams.org/conm/599/ http://dx.doi.org/10.1090/conm/599/11927 On the maximal measure of sections of the $n$-cube / Hermann K�onig and Alexander Koldobsky -- http://www.ams.org/conm/599/ http://dx.doi.org/10.1090/conm/599/11907 Extremities of stability for pendant drops / John McCuan -- http://www.ams.org/conm/599/ http://dx.doi.org/10.1090/conm/599/11944 On the Funk-Radon-Helgason Inversion Method in Integral Geometry / Boris Rubin -- http://www.ams.org/conm/599/ http://dx.doi.org/10.1090/conm/599/11908 Inequalities for the ADM-mass and capacity of asymptotically flat manifolds with minimal boundary / Fernando Schwartz -- http://www.ams.org/conm/599/ http://dx.doi.org/10.1090/conm/599/11909 Bounded extrinsic curvature of subsets of metric spaces / Jeremy Wong -- http://www.ams.org/conm/599/ http://dx.doi.org/10.1090/conm/599/11946

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"Proceedings the Southeast Geometry Seminar for the meetings that took place between the Fall of 2009 and the Fall of 2011. The one-day events were held bi-annually, and their location rotated among four hosting institutions: Emory University, Georgia Institute of Technology, University of Alabama Birmingham, and the University of Tennessee."

Includes bibliographical references.

On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity / Hubert L. Bray -- Embedded three-dimensional CR manifolds and the non-negativity of Paneitz operators / Sagun Chanillo, Hung-Lin Chiu and Paul Yang -- Aubry sets, Hamilton-Jacobi equations, and the Ma�n�e Conjecture / A. Figalli and L. Rifford -- Minimal surfaces and eigenvalue problems / Ailana Fraser and Richard Schoen -- On the maximal measure of sections of the $n$-cube / Hermann K�onig and Alexander Koldobsky -- Extremities of stability for pendant drops / John McCuan -- On the Funk-Radon-Helgason Inversion Method in Integral Geometry / Boris Rubin -- Inequalities for the ADM-mass and capacity of asymptotically flat manifolds with minimal boundary / Fernando Schwartz -- Bounded extrinsic curvature of subsets of metric spaces / Jeremy Wong --

http://www.ams.org/conm/599/

http://dx.doi.org/10.1090/conm/599/11945

http://www.ams.org/conm/599/

http://dx.doi.org/10.1090/conm/599/11905

http://www.ams.org/conm/599/

http://dx.doi.org/10.1090/conm/599/11906

http://www.ams.org/conm/599/

http://dx.doi.org/10.1090/conm/599/11927

http://www.ams.org/conm/599/

http://dx.doi.org/10.1090/conm/599/11907

http://www.ams.org/conm/599/

http://dx.doi.org/10.1090/conm/599/11944