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- Author:
-
Shlomo,
Sternberg
- Subject:
- Mathematics and Statistics
- Institution Name:
- Harvard University
- Collection:
-
Harvard University
- Grade Level:
- Post-secondary
- 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.
- Course Type:
- Learning Module
- Languages:
- English
- Material Type:
- Textbooks
- Media Format:
- Downloadable docs
- Conditions of Use:
-
Creative Commons Attribution-Noncommercial-Share Alike 2.0
No restrictions on your remixing, redistributing, or making derivative works.
Give credit to the author, as required.
Your remixing, redistributing, or making derivatives works comes with some
restrictions, including how it is shared.
Your redistributing comes with some restrictions. Do not remix or make
derivative works.
Copyrighted materials, available under Fair Use and the TEACH Act for US-based
educators, or other custom arrangements. Go to the resource provider to see
their individual restrictions.
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