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Differential Geometry and Mathematical Physics
Edited by: John K. Beem, University of Missouri-Columbia, MO, and Krishan L. Duggal, University of Windsor, ON, Canada
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Contemporary Mathematics
1994; 224 pp; softcover
Volume: 170
Reprint/Revision History:
reprinted 1998
ISBN-10: 0-8218-5172-1
ISBN-13: 978-0-8218-5172-2
List Price: US$49
Member Price: US$39.20
Order Code: CONM/170
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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

  • J. K. Beem -- Stability of geodesic incompleteness
  • B. K. Berger, D. Garfinkle, V. Moncrief, and C. Swift -- Numerical simulation of two-polarization Gowdy \(T^3\) cosmology
  • P. T. Chruściel -- "No hair" theorems--Folklore, conjectures, results
  • K. L. Duggal and A. Bejancu -- Spacetime geometry of CR-structures
  • P. E. Ehrlich and S.-B. Kim -- From the Riccati inequality to the Raychaudhuri equation
  • C. J. Fama and S. M. Scott -- Invariance properties of boundary sets of open embeddings of manifolds and their application to the abstract boundary
  • G. J. Galloway -- Least area tori, black holes and topological censorship
  • S. G. Harris -- The method of timelike 2-surfaces
  • A. D. Helfer -- Conjugate points and higher Arnol'd-Maslov classes
  • J. Isenberg and V. Moncrief -- Manifolds with a circle action and the Einstein constraint equations
  • W. Israel -- The internal geometry of black holes
  • H. P. Künzle -- Einstein-Yang-Mills fields with spherical symmetry
  • D. Lewis -- Quasi-periodic motions of planar liquid drops
  • P. E. Parker -- Compatible metrics on fiber bundles
  • W. F. Shadwick and W. M. Sluis -- Dynamic feedback for classical geometries
  • R. Sharma and K. L. Duggal -- Ricci curvature inheriting symmetries of semi-Riemannian manifolds
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