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Riemannian Geometry

Specificaties
Paperback, 405 blz. | Engels
Springer New York | 2e druk, 2010
ISBN13: 9781441921239
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Springer New York 2e druk, 2010 9781441921239
Onderdeel van serie Graduate Texts in Mathematics
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Samenvatting

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.

Specificaties

ISBN13:9781441921239
Taal:Engels
Bindwijze:paperback
Aantal pagina's:405
Uitgever:Springer New York
Druk:2

Inhoudsopgave

Riemannian Metrics.- Curvature.- Examples.- Hypersurfaces.- Geodesics and Distance.- Sectional Curvature Comparison I.- The Bochner Technique.- Symmetric Spaces and Holonomy.- Ricci Curvature Comparison.- Convergence.- Sectional Curvature Comparison II.

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        Riemannian Geometry