Riemannian Geometry (2nd ed. 2006) (Graduate Texts in Mathematics #171)
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- Synopsis
- This volume introduces techniques and theorems of Riemannian geometry, and opens the way to advanced topics. The text combines the geometric parts of Riemannian geometry with analytic aspects of the theory, and reviews recent research. The updated second edition includes a new coordinate-free formula that is easily remembered (the Koszul formula in disguise); an expanded number of coordinate calculations of connection and curvature; general fomulas for curvature on Lie Groups and submersions; variational calculus integrated into the text, allowing for an early treatment of the Sphere theorem using a forgotten proof by Berger; recent results regarding manifolds with positive curvature.
- Copyright:
- 2006
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9780387294032
- Related ISBNs:
- 9780387292465
- Publisher:
- Springer New York
- Date of Addition:
- 02/07/21
- Copyrighted By:
- N/A
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.