Complex Analysis and CR Geometry (University Lecture Series) - Softcover

American Mathematical Society

Softcover

ISBN 10: 0821844423 ISBN 13: 9780821844427

Publisher: American Mathematical Society, 2008

Synopsis

Cauchy-Riemann (CR) geometry is the study of manifolds equipped with a system of CR-type equations. Compared to the early days when the purpose of CR geometry was to supply tools for the analysis of the existence and regularity of solutions to the $\bar\partial$-Neumann problem, it has rapidly acquired a life of its own and has became an important topic in differential geometry and the study of non-linear partial differential equations. A full understanding of modern CR geometry requires knowledge of various topics such as real/complex differential and symplectic geometry, foliation theory, the geometric theory of PDE's, and microlocal analysis. Nowadays, the subject of CR geometry is very rich in results, and the amount of material required to reach competence is daunting to graduate students who wish to learn it.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2008
• Language: English
• ISBN 10: 0821844423
• ISBN 13: 9780821844427
• Binding: Paperback
• Number of pages: 204