Handbook of Geometric Analysis I

Description

Geometric Analysis combines differential equations and differential geometry, an important aspect of geometric analysis being the solution of 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-Ampère 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.

The Handbooks of Geometric Analysis—published as volumes within the ALM book series—provide introductions to and surveys of such topics in geometric analysis, and explore their applications to related fields. The Handbooks can be used as references by graduate students and researchers.

This volume is part of the Advanced Lectures in Mathematics book series.

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