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.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Graduate Texts in Mathematics, 171 |
Release date: |
November 2010 |
First published: |
2006 |
Authors: |
Peter Petersen
|
Dimensions: |
235 x 155 x 25mm (L x W x T) |
Format: |
Paperback
|
Pages: |
405 |
Edition: |
Softcover reprint of hardcover 2nd ed. 2006 |
ISBN-13: |
978-1-4419-2123-9 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
Differential & Riemannian geometry
|
LSN: |
1-4419-2123-0 |
Barcode: |
9781441921239 |
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