Semi-riemann Geometry and General Relativity

By Sternberg, Shlomo

Book Id: WPLBN0003761415
Format Type: PDF eBook:
File Size: 1.04 MB
Reproduction Date: 2015

Title:	Semi-riemann Geometry and General Relativity
Author:	Sternberg, Shlomo
Volume:
Language:	English
Subject:	Programming, Mathematics, Geometry
Collections:	Technical eBooks and Manuals Collection, Technical Books Center Collection
Historic Publication Date:	2003
Publisher:	Orange Grove Books


Citation APA MLA Chicago Sternberg, B. S. (2003). Semi-riemann Geometry and General Relativity. Retrieved from http://gutenberg.us/

Description
Description: 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.

Table of Contents
TOC : Introduction - 1 The principal curvatures - 2 Rules of calculus - 3 Levi-Civita Connections - 4 The bundle of frames - 5 Connections on principal bundles - 6 Gauss’s lemma - 7 Special relativity - 8 Die Grundlagen der Physik - 9 Submersions - 10 Petrov types - 11 Star.