Semi-Riemann Geometry and General Relativity

Abstract:

This book represents course notes for a one semester course at the undergraduate level giving an introduction to Riemannian geometry and its principal physical application, Einstein’s theory of general relativity. The background assumed is a good grounding in linear algebra and in advanced calculus, preferably in the language of differential forms.

This book covers the following topics: The principal curvatures; rules of calculus; Levi-Civita Connections; bundle of frames; connections on principal bundles; Gauss's lemma; special relativity; Die Grundlagen der Physik; submersions; Petrov types; and Star.

Subject:

Mathematics and Statistics

Grade Level:

Post-secondary

Collection:

Harvard University