Complex analysis and CR geometry
著者
書誌事項
Complex analysis and CR geometry
(University lecture series, v. 43)
American Mathematical Society, c2008
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注記
Bibliography: p. 191-195
Includes indexes
内容説明・目次
内容説明
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.
目次
Several complex variables Real structures Real/complex structures Bibliography Subject index Symbols index.
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