Riemannian Geometry - Petersen, Peter

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Résumé :
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...

Biographie:
addition of general formulas for curvature on Lie Groups and submersions...

Sommaire:
inclusion of an increased number of coordinate calculations of connection and curvature...