Geometric analysis, mathematical relativity, and nonlinear partial differential equations : Southeast Geometry Seminars Emory University, Georgia Institute of Technology, University of Alabama, Birmingham, and the University of Tennessee, 2009-2011 / Mohammad Ghomi [and five others], editors.

Format:

Book

Conference/Event

Contributor:

Ghomi, Mohammad, 1969- editor.

Conference Name:

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

Southeast Geometry Seminar

Series:

Contemporary mathematics (American Mathematical Society). 0271-4132 599

Contemporary mathematics, 1098-3627 ; 599 0271-4132

Language:

English

Subjects (All):

Global differential geometry--Congresses.

Global differential geometry.

Differential operators--Congresses.

Differential operators.

CR submanifolds--Congresses.

CR submanifolds.

Physical Description:

1 online resource (256 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2013.

Language Note:

English

Summary:

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.

Contents:

Preface

On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity

1. Overview

2. Geometric Motivation

3. Cosmological Predictions

4. The Galactic Scale

5. Spiral Galaxies

6. Elliptical Galaxies

7. Open Problems

8. Acknowledgments

Appendix A. A Brief Introduction to General Relativity

Appendix B. Derivation of the Einstein-Klein-Gordon Equations with a Cosmological Constant from Axiom 1 .

Appendix C. A Bigger Geometric Theory

Appendix D. The Coldness of Scalar Field Dark Matter in the Homogeneous and Isotropic Case

Embedded three-dimensional CR manifolds and the non-negativity of Paneitz operators

Aubry sets, Hamilton-Jacobi equations, and the Mañé Conjecture

Minimal surfaces and eigenvalue problems

On the maximal measure of sections of the -cube

Extremities of stability for pendant drops

On the Funk-Radon-Helgason Inversion Method in Integral Geometry

Inequalities for the ADM-mass and capacity of asymptotically flat manifolds with minimal boundary

1. Introduction

2. Basic setup and motivation

3. Inequalities for the ADM-mass and capacity of CF-manifolds with minimal boundary

4. Euclidean estimates

References

Bounded extrinsic curvature of subsets of metric spaces

2. Constant extrinsic curvature

3. Branching and extendability

Acknowledgement

References.

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-1081-8