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Semi-Riemannian Geometry : with applications to relativity.

By: Series: Pure and applied mathematics (Academic Press) ; 103.New York : Academic Press, 1983Description: xiii, 468 pages ; 24 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 0125267401
  • 9780125267403
Subject(s): DDC classification:
  • 510 s 516.3/73 19
LOC classification:
  • QA3 .P8 vol. 103
Other classification:
  • 31.52
Online resources:
Contents:
1. Manifold theory -- 2. Tensors -- 3. Semi-Riemannian manifolds -- 4. Semi-Riemannian submanifolds -- 5. Riemannian and Lorentz geometry -- 6. Special relativity -- 7. Constructions -- 8. Symmetry and constant curvature -- 9. Isometries -- 10. Calculus of variations -- 11. Homogenous and symmetric spaces -- 12. General relativity: cosmology -- 13. Schwarzschild geometry -- 14. Causality in Lorentz manifolds -- Appendix A. Fundamental groups and covering manifolds -- Appendix B. Lie groups -- Appendix C. Newtonian gravitation.
Scope and content: "This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest."--FROM THE PUBLISHER.
Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
BOOK BOOK NCAR Library Mesa Lab QA649 .O64 1983 1 Available 50583020024232
Total holds: 0

Includes bibliographical references (pages 456-457) and index.

1. Manifold theory -- 2. Tensors -- 3. Semi-Riemannian manifolds -- 4. Semi-Riemannian submanifolds -- 5. Riemannian and Lorentz geometry -- 6. Special relativity -- 7. Constructions -- 8. Symmetry and constant curvature -- 9. Isometries -- 10. Calculus of variations -- 11. Homogenous and symmetric spaces -- 12. General relativity: cosmology -- 13. Schwarzschild geometry -- 14. Causality in Lorentz manifolds -- Appendix A. Fundamental groups and covering manifolds -- Appendix B. Lie groups -- Appendix C. Newtonian gravitation.

"This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest."--FROM THE PUBLISHER.

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