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Riemannian Geometry (Graduate Texts in Mathematics, Vol. 171) by Peter Petersen, 1962- is a nonfiction available to read on EtoBox.

What is Riemannian Geometry (Graduate Texts in Mathematics, Vol. 171) about?

Intended for a one year course, this volume serves as a single source, introducing students 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, while also presenting the most up-to-date research. This book will appeal to readers with a knowledge of standard manifold theory, including such topics as tensors and Stokes theorem. Various exercises are scattered throughout the text, helping motivate readers to deepen their understanding of the subject. Important additions to this new edition include: \* A completely new coordinate free formula that is easily remembered, and is, in fact, the Koszul formula in disguise; \* An increased number of coordinate calculations of connection and curvature; \* General fomulas for curvature on Lie Groups and submersions; \* Variational calculus has been integrated into the text, which allows for an early treatment of the Sphere theorem using a forgottten proof by Berger; \* Several recent results about

Who reads Riemannian Geometry (Graduate Texts in Mathematics, Vol. 171)?

Author

Peter Petersen, 1962-

Publisher

Springer Science + Business Media, LLC

Published

2006

Language

EN

ISBN

9780387294032

Category

nonfiction

Subjects

Mathematics, Stem