IAS/Park City Mathematics Series
Volume: 2; 1996; 339 pp; Softcover
MSC: Primary 35; 49; 58; Secondary 53
Print ISBN: 978-0-8218-0431-5
Product Code: PCMS/2
List Price: $75.00
Individual Member Price: $60.00
Nonlinear partial differential equations in differential geometryShare this page
Edited by Robert Hardt; Michael Wolf
A co-publication of the AMS and IAS/Park City Mathematics Institute
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, submanifolds, 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 lecture notes of minicourses 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.
Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Table of Contents
Table of Contents
Nonlinear partial differential equations in differential geometry
Graduate students and research mathematicians in differential geometry and partial differential equations.