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Semi-Riemann geometry and general relativity
- Description
- This book provides an introduction to Riemannian geometry and its principal physical application, Einsteins theory of general relativity. It assumes a background in linear algebra and advanced calculus. Chapters cover: the principal curvatures; the rules of calculus; Levi-Civita connections; the bundle of frames; connections on principle bundles; Gauss's lemma; special relativity; Hilbert's 1915 paper; submersions; Petrov types; and, the star operator. The book was written by Shlomo Sternberg from the Department of Mathematics, Harvard University, USA.
- Publisher
- Department of Mathematics, Harvard University
- http://www.math.harvard.edu/~shlomo/docs/semi_riemannian_geometry.pdf
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