**Contemporary Mathematics**

Volume: 170;
1994;
224 pp;
Softcover

MSC: Primary 53; 83;

**Print ISBN: 978-0-8218-5172-2
Product Code: CONM/170**

List Price: $56.00

AMS Member Price: $44.80

MAA Member Price: $50.40

**Electronic ISBN: 978-0-8218-7761-6
Product Code: CONM/170.E**

List Price: $52.00

AMS Member Price: $41.60

MAA Member Price: $46.80

# Differential Geometry and Mathematical Physics

Share this page *Edited by *
*John K. Beem; Krishan L. Duggal*

This book contains the proceedings of the Special Session, Geometric Methods in Mathematical Physics, held at the joint AMS-CMS meeting in Vancouver in August 1993. The papers collected here contain a number of new results in differential geometry and its applications to physics. The major themes include black holes, singularities, censorship, the Einstein field equations, geodesics, index theory, submanifolds, CR-structures, and space-time symmetries. In addition, there are papers on Yang-Mills fields, geometric techniques in control theory, and equilibria. Containing new results by established researchers in the field, this book provides a look at developments in this exciting area of research.

#### Readership

Researchers in differential geometry and mathematical physics.

# Table of Contents

## Differential Geometry and Mathematical Physics

- Contents v6 free
- Preface vii8 free
- Stability of geodesic incompleteness 110 free
- Numerical simulation of two-polarization Gowdy T3 cosmology 1322
- "No hair" theorems–Folklore, conjectures, results 2332
- Spacetime geometry of CR-structures 5160
- From the Riccati inequality to the Raychaudhuri equation 6574
- lnvariance properties of boundary sets of open embeddings of manifolds and their application to the abstract boundary 7988
- Least area tori, black holes and topological censorship 113122
- The method of timelike 2-surfaces 125134
- Conjugate points and higher Arnol'd-Maslov classes 135144
- Manifolds with a circle action and the Einstein constraint equations 149158
- The internal geometry of black holes 155164
- Einstein-Yang-Mills fields with spherical symmetry 167176
- Quasi-periodic motions of planar liquid drops 185194
- Compatible metrics on fiber bundles 201210
- Dynamic feedback for classical geometries 207216
- Ricci curvature inheriting symmetries of semi-Riemannian manifolds 215224