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Semi-Riemannian geometry : with applications to relativity Barrett O'Neill

By: Material type: TextTextLanguage: Spanish Series: Pure and applied mathematics ; 103Publication details: New York [u.a.] Acad. Press 1983Description: XIII, 468 S. : graph. DarstISBN:
  • 0125267401
  • 9780125267403
Subject(s): DDC classification:
  • 516.373
LOC classification:
  • QA 3  O999s 1983
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.
Summary: "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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Holdings
Item type Current library Home library Collection Shelving location Call number Copy number Status Date due Barcode
Libro Libro Biblioteca Juan Bosch Biblioteca Juan Bosch Humanidades Humanidades (4to. Piso) QA 3 O999s 1983 (Browse shelf(Opens below)) 1 Available 00000068017

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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