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Beschreibung
Intended for a one year course, this text serves as a single source, introducing readers to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian geometry. This is one of the few Works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory. The… book will appeal to a readership that have a basic knowledge of standard manifold theory, including tensors, forms, and Lie groups.Important revisions to the third edition include:a substantial addition of unique and enriching exercises scattered throughout the text;inclusion of an increased number of coordinate calculations of connection and curvature;addition of general formulas for curvature on Lie Groups and submersions;integration of variational calculus into the text allowing for an early treatment of the Sphere theorem using a proof by Berger;incorporation of several recent results about manifolds with positive curvature;presentation of a new simplifying approach to the Bochner technique for tensors with application to bound topological quantities with general lower curvature bounds.From reviews of the first edition:"The book can be highly recommended to all mathematicians who want to get a more profound idea about the most interesting achievements in Riemannian geometry. It is one of the few comprehensive sources of this type."―Bernd Wegner, ZbMATH Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
24.04.2018
Sprache
Englisch
EAN
9783319799896
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Graduate Texts in Mathematics
Sonderedition
Nein
Autor
Peter Petersen
Seitenanzahl
499
Auflage
Softcover reprint of the original 3rd edition 2016
Einbandart
Taschenbuch
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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