ENGLISH

Geometric Analysis

Book information

Publisher
Cambridge University Press
Year
2012
ISBN
052137331X, 9780521373319
Language
english
Format
PDF
Filesize
1 MB (1515958 bytes)
Series
Cambridge Studies in Advanced Mathematics 134
Pages
416\418
Scanned
yes
Time added
2014-04-29 16:44:58

Description

The aim of this graduate-level text is to equip the reader with the basic tools and techniques needed for research in various areas of geometric analysis. Throughout, the main theme is to present the interaction of partial differential equations and differential geometry. More specifically, emphasis is placed on how the behavior of the solutions of a PDE is affected by the geometry of the underlying manifold and vice versa. For efficiency the author mainly restricts himself to the linear theory and only a rudimentary background in Riemannian geometry and partial differential equations is assumed. Originating from the author's own lectures, this book is an ideal introduction for graduate students, as well as a useful reference for experts in the field.

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