Geometric analysis

By:

Li, Peter

Series: Cambridge studies in advanced mathematics ; 134Publication details: Cambridge University Press, 2012. Cambridge:Description: x, 406 p. : ill. ; hb, 24 cmISBN:

9781107020641

Subject(s):

DDC classification:

515.1 LIP

Summary: 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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Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	515.1 LIP (Browse shelf(Opens below))	1	Available		030102

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Previous	515 TAO Analysis - I,	515 TAO Analysis - II	515 VEL Calculus: a rigorous first course	515.1 LIP Geometric analysis	515.22 BOR Representations of the infinite symmetric group	515.2422 MUS Classical and multilinear harmonic analysis, Vol.2	515.243 HIR Infinite series	Next

Includes bibliographical references (pages 399-403) and index.

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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