Handbook of Geometric Analysis

Handbook of Geometric Analysis
ISBN-10
1571461302
ISBN-13
9781571461308
Category
Mathematics / Geometry / Analytic
Pages
676
Language
English
Published
2008
Publisher
International Pressof Boston Incorporated
Authors
Peter Li, Leon Simon, Lizhen Ji

Description

Geometric Analysis combines differential equations with differential geometry. An important aspect of geometric analysis is to approach geometric problems by studying differential equations. Besides some known linear differential operators such as the Laplace operator, many differential equations arising from differential geometry are nonlinear. A particularly important example is the Monge-Amperè equation. Applications to geometric problems have also motivated new methods and techniques in differential equations. The field of geometric analysis is broad and has had many striking applications.This handbook of geometric analysis—the first of the two to be published in the ALM series—presents introductions and survey papers treating important topics in geometric analysis, with their applications to related fields. It can be used as a reference by graduate students and by researchers in related areas.

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