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Handbook of Geometric Analysis, No. 1: (Advanced Lectures in Mathematics)

(Hardback)

Richard Schoen, Peter Li, Lizhen Ji, Leon Simon,

International Press of Boston Inc (Publisher)

Published

2008

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Mathematics and Science Mathematics Geometry Differential and Riemannian geometry

By: Richard Schoen, Peter Li, Lizhen Ji, Leon Simon | Publisher: International Press of Boston Inc | Released: 01 Jan 2008

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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 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.