Nonlinear Partial Differential Equations in Differential Geometry

Hardt, Robert & Michael Wolf, editors

ISBN 10: 0821804316 ISBN 13: 9780821804315

Published by American Mathematical Society, Providence, RI, 1996

Condition: Used - Very good Hardcover

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About this Item

Lectures from a Graduate Summer School program in advanced mathematics held in 1992 in Park City Utah; IAS/Park City Mathematics Series volume 2. Glossy hardcover, as pictured; no jacket, likely as issued. Light wear, hint of bumping to corners, text clean; xi, blank, 339 pages; references, many equations. Size: Large Octavo.

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Bibliographic Details

Title: Nonlinear Partial Differential Equations in Differential Geometry
Publisher: American Mathematical Society, Providence, RI
Publication Date: 1996
ISBN 10: 0821804316
ISBN 13: 9780821804315
Binding: Hard Cover
Edition: First Edition.
Condition: Very Good
Dust Jacket Condition: No Jacket

About this title

Synopsis

The lecture notes from a July 1992 minicourse in Park City, Utah, for graduate students and research mathematicians in differential geometry and partial differential equations. They survey the current state of such aspects as the Moser-Trudinger inequality and its applications to some problems in conformal geometry, the effect of curvature on the behavior of harmonic functions and mapping, and singularities of geometric variational problems. No index. Annotation c. by Book News, Inc., Portland, Or.

Synopsis

What distinguishes differential geometry in the last half of the twentieth century from its earlier history is the use of nonlinear partial differential equations in the study of curved manifolds, sub manifolds, mapping problems, and function theory on manifolds, among other topics. The differential equations appear as tools and as objects of study, with analytic and geometric advances fueling each other in the current explosion of progress in this area of geometry in the last twenty years.This book contains lectures notes of mini courses at the Regional Geometry Institute at Park City, Utah, in July 1992. Presented here are surveys of breaking developments in a number of areas of nonlinear partial differential equations in differential geometry. The authors of the articles are not only excellent expositors, but are also leaders in this field of research. All of the articles provide in-depth treatment of the topics and require few prerequisites and less background than current research articles.

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