eBook ISBN:  9780821876602 
Product Code:  CONM/71.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $94.38 
eBook ISBN:  9780821876602 
Product Code:  CONM/71.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $94.38 

Book DetailsContemporary MathematicsVolume: 71; 1988; 367 ppMSC: Primary 83
This volume contains the proceedings of the AMSIMSSIAM Joint Summer Research Conference in General Relativity, held in June 1986 at the University of California, Santa Cruz.
General relativity is one of the most successful alliances of mathematics and physics. It provides us with a theory of gravity which agrees with all experimentation and observation to date. In addition, there is a great deal of physical evidence for a number of interesting effects predicted by the theory of gravity—black holes, cosmological expansion, gravitational waves, and gravitational lenses. The enabling tool is the language of differential geometry. Throughout its 70year history, general relativity has significantly stimulated pseudoRiemannian as well as Riemannian geometry and has also motivated important work in complex geometry, topology, and the study of both elliptic and hyperbolic systems of partial differential equations.

Table of Contents

Articles

Roger Penrose — Aspects of quasilocal angular momentum [ MR 954404 ]

D. Christodoulou and S.T. Yau — Some remarks on the quasilocal mass [ MR 954405 ]

William T. Shaw — Quasilocal mass for “large” spheres [ MR 954406 ]

Rafael D. Sorkin — Conserved quantities as action variations [ MR 954407 ]

Abhay Ashtekar — A $3+1$ formulation of Einstein selfduality [ MR 954408 ]

Lee Smolin — Quantum gravity in the selfdual representation [ MR 954409 ]

Ted Jacobson — Superspace in the selfdual representation of quantum gravity [ MR 954410 ]

Charles P. Boyer — Selfdual and antiselfdual Hermitian metrics on compact complex surfaces [ MR 954411 ]

F. J. Flaherty — Instantons on the quaternionic Siegel space [ MR 954412 ]

Robert M. Wald — Gauge theories for fields of spinone and spintwo [ MR 954413 ]

S. Klainerman — Einstein geometry and hyperbolic equations [ MR 954414 ]

R. J. Knill and A. P. Whitman — The wellposedness of Rosen’s field equations [ MR 954415 ]

Victor Szczyrba — Dynamics of quadratic Lagrangians in gravity: Fairchild’s theory [ MR 954416 ]

William A. Hiscock and Lee Lindblom — Stability in dissipative relativistic fluid theories [ MR 954417 ]

Jerrold E. Marsden — The Hamiltonian formulation of classical field theory [ MR 954418 ]

Richard S. Hamilton — The Ricci flow on surfaces [ MR 954419 ]

Demir N. Kupeli — Curvature and compact spacelike surfaces in $4$dimensional spacetimes [ MR 954420 ]

Marek Kossowski — Metric singularity phenomena in pseudoRiemannian geometry [ MR 954422 ]

Karel V. Kuchař — Covariant quantization of dynamical systems with constraints [ MR 954423 ]

John L. Friedman and Donald M. Witt — Problems on diffeomorphisms arising from quantum gravity [ MR 954424 ]

Philip B. Yasskin — Initial value decomposition of the spacetime diffeomorphism group [ MR 954425 ]

P. D. D’Eath and J. J. Halliwell — Inclusion of fermions in the wave function of the universe [ MR 954426 ]

Michael E. Peskin — Gauge symmetries of string field theory [ MR 954427 ]

William T. Shaw — Twistors and strings [ MR 954428 ]


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This volume contains the proceedings of the AMSIMSSIAM Joint Summer Research Conference in General Relativity, held in June 1986 at the University of California, Santa Cruz.
General relativity is one of the most successful alliances of mathematics and physics. It provides us with a theory of gravity which agrees with all experimentation and observation to date. In addition, there is a great deal of physical evidence for a number of interesting effects predicted by the theory of gravity—black holes, cosmological expansion, gravitational waves, and gravitational lenses. The enabling tool is the language of differential geometry. Throughout its 70year history, general relativity has significantly stimulated pseudoRiemannian as well as Riemannian geometry and has also motivated important work in complex geometry, topology, and the study of both elliptic and hyperbolic systems of partial differential equations.

Articles

Roger Penrose — Aspects of quasilocal angular momentum [ MR 954404 ]

D. Christodoulou and S.T. Yau — Some remarks on the quasilocal mass [ MR 954405 ]

William T. Shaw — Quasilocal mass for “large” spheres [ MR 954406 ]

Rafael D. Sorkin — Conserved quantities as action variations [ MR 954407 ]

Abhay Ashtekar — A $3+1$ formulation of Einstein selfduality [ MR 954408 ]

Lee Smolin — Quantum gravity in the selfdual representation [ MR 954409 ]

Ted Jacobson — Superspace in the selfdual representation of quantum gravity [ MR 954410 ]

Charles P. Boyer — Selfdual and antiselfdual Hermitian metrics on compact complex surfaces [ MR 954411 ]

F. J. Flaherty — Instantons on the quaternionic Siegel space [ MR 954412 ]

Robert M. Wald — Gauge theories for fields of spinone and spintwo [ MR 954413 ]

S. Klainerman — Einstein geometry and hyperbolic equations [ MR 954414 ]

R. J. Knill and A. P. Whitman — The wellposedness of Rosen’s field equations [ MR 954415 ]

Victor Szczyrba — Dynamics of quadratic Lagrangians in gravity: Fairchild’s theory [ MR 954416 ]

William A. Hiscock and Lee Lindblom — Stability in dissipative relativistic fluid theories [ MR 954417 ]

Jerrold E. Marsden — The Hamiltonian formulation of classical field theory [ MR 954418 ]

Richard S. Hamilton — The Ricci flow on surfaces [ MR 954419 ]

Demir N. Kupeli — Curvature and compact spacelike surfaces in $4$dimensional spacetimes [ MR 954420 ]

Marek Kossowski — Metric singularity phenomena in pseudoRiemannian geometry [ MR 954422 ]

Karel V. Kuchař — Covariant quantization of dynamical systems with constraints [ MR 954423 ]

John L. Friedman and Donald M. Witt — Problems on diffeomorphisms arising from quantum gravity [ MR 954424 ]

Philip B. Yasskin — Initial value decomposition of the spacetime diffeomorphism group [ MR 954425 ]

P. D. D’Eath and J. J. Halliwell — Inclusion of fermions in the wave function of the universe [ MR 954426 ]

Michael E. Peskin — Gauge symmetries of string field theory [ MR 954427 ]

William T. Shaw — Twistors and strings [ MR 954428 ]