TY  - BOOK
AU  - O'Neill,Barrett
TI  - Semi-Riemannian Geometry: with applications to relativity
T2  - Pure and applied mathematics
SN  - 0125267401
AV  - QA3 .P8 vol. 103
U1  - 510 s516.3/73 19
PY  - 1983///
CY  - New York
PB  - Academic Press
KW  - Semi-Riemannian geometry
KW  - Manifolds (Mathematics)
KW  - Calculus of tensors
KW  - Relativity (Physics)
KW  - Geometry, Riemannian
KW  - fast
KW  - nli
N1  - 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
N2  - "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
UR  - http://catdir.loc.gov/catdir/toc/els031/82013917.html
UR  - http://www.gbv.de/dms/hbz/toc/ht002469916.pdf
UR  - http://catdir.loc.gov/catdir/description/els032/82013917.html
UR  - http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=2018260&custom%5Fatt%5F2=simple%5Fviewer
ER  -