Peter Petersen
Riemannian Geometry
Paperback Engels 2010 2e druk 9781441921239
Verwachte levertijd ongeveer 9 werkdagen
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
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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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