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Differential Geometry and Mathematical Physics
 
Edited by: John K. Beem University of Missouri-Columbia, Columbia, MO
Krishan L. Duggal University of Windsor, Windsor, ON, Canada
Differential Geometry and Mathematical Physics
eBook ISBN:  978-0-8218-7761-6
Product Code:  CONM/170.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Differential Geometry and Mathematical Physics
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Differential Geometry and Mathematical Physics
Edited by: John K. Beem University of Missouri-Columbia, Columbia, MO
Krishan L. Duggal University of Windsor, Windsor, ON, Canada
eBook ISBN:  978-0-8218-7761-6
Product Code:  CONM/170.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1701994; 224 pp
    MSC: Primary 53; 83

    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
     
     
    • Articles
    • John K. Beem — Stability of geodesic incompleteness [ MR 1290561 ]
    • Beverly K. Berger, David Garfinkle, Vincent Moncrief and Carrie Swift — Numerical simulation of two-polarization Gowdy $T^3$ cosmology [ MR 1290562 ]
    • Piotr T. Chruściel — “No hair” theorems—folklore, conjectures, results [ MR 1290563 ]
    • Krishan L. Duggal and Aurel Bejancu — Spacetime geometry of CR-structures [ MR 1290564 ]
    • Paul E. Ehrlich and Seon-Bu Kim — From the Riccati inequality to the Raychaudhuri equation [ MR 1290565 ]
    • Christopher J. Fama and Susan M. Scott — Invariance properties of boundary sets of open embeddings of manifolds and their application to the abstract boundary [ MR 1290566 ]
    • Gregory J. Galloway — Least area tori, black holes and topological censorship [ MR 1290567 ]
    • Steven G. Harris — The method of timelike $2$-surfaces [ MR 1290568 ]
    • Adam D. Helfer — Conjugate points and higher Arnol′d-Maslov classes [ MR 1290569 ]
    • James Isenberg and Vincent Moncrief — Manifolds with a circle action and the Einstein constraint equations [ MR 1290570 ]
    • Werner Israel — The internal geometry of black holes [ MR 1290571 ]
    • H. P. Künzle — Einstein-Yang-Mills fields with spherical symmetry [ MR 1290572 ]
    • Debra Lewis — Quasi-periodic motions of planar liquid drops [ MR 1290573 ]
    • Phillip E. Parker — Compatible metrics on fiber bundles [ MR 1290574 ]
    • William F. Shadwick and Willem M. Sluis — Dynamic feedback for classical geometries [ MR 1290575 ]
    • Ramesh Sharma and Krishan L. Duggal — Ricci curvature inheriting symmetries of semi-Riemannian manifolds [ MR 1290576 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1701994; 224 pp
MSC: Primary 53; 83

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.

  • Articles
  • John K. Beem — Stability of geodesic incompleteness [ MR 1290561 ]
  • Beverly K. Berger, David Garfinkle, Vincent Moncrief and Carrie Swift — Numerical simulation of two-polarization Gowdy $T^3$ cosmology [ MR 1290562 ]
  • Piotr T. Chruściel — “No hair” theorems—folklore, conjectures, results [ MR 1290563 ]
  • Krishan L. Duggal and Aurel Bejancu — Spacetime geometry of CR-structures [ MR 1290564 ]
  • Paul E. Ehrlich and Seon-Bu Kim — From the Riccati inequality to the Raychaudhuri equation [ MR 1290565 ]
  • Christopher J. Fama and Susan M. Scott — Invariance properties of boundary sets of open embeddings of manifolds and their application to the abstract boundary [ MR 1290566 ]
  • Gregory J. Galloway — Least area tori, black holes and topological censorship [ MR 1290567 ]
  • Steven G. Harris — The method of timelike $2$-surfaces [ MR 1290568 ]
  • Adam D. Helfer — Conjugate points and higher Arnol′d-Maslov classes [ MR 1290569 ]
  • James Isenberg and Vincent Moncrief — Manifolds with a circle action and the Einstein constraint equations [ MR 1290570 ]
  • Werner Israel — The internal geometry of black holes [ MR 1290571 ]
  • H. P. Künzle — Einstein-Yang-Mills fields with spherical symmetry [ MR 1290572 ]
  • Debra Lewis — Quasi-periodic motions of planar liquid drops [ MR 1290573 ]
  • Phillip E. Parker — Compatible metrics on fiber bundles [ MR 1290574 ]
  • William F. Shadwick and Willem M. Sluis — Dynamic feedback for classical geometries [ MR 1290575 ]
  • Ramesh Sharma and Krishan L. Duggal — Ricci curvature inheriting symmetries of semi-Riemannian manifolds [ MR 1290576 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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