Complex Analysis and CR Geometry
Book Details
Format
Paperback / softback
Book Series
University Lecture Series
ISBN-10
0821844423
ISBN-13
9780821844427
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
US
Country of Publication
GB
Publication Date
Apr 30th, 2008
Print length
204 Pages
Weight
360 grams
Product Classification:
Complex analysis, complex variables
KSh 10,600.00
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Cauchy-Riemann (CR) geometry is the study of manifolds equipped with a system of CR-type equations. CR geometry has become an important topic in differential geometry and the study of non-linear partial differential equations. This book discusses CR functions their infinitesimal deformations, and their lifts to the cotangent space.
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.
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