Product Information
' A CR manifold is aC differentiable manifold endowed with a complex subbundle T (M)ofthecomplexi'edtangentbundleT(M)?CsatisfyingT (M)?T (M)= 1,0 1,0 1,0 (0) and the Frobenius (formal) integrability property ? ? ? (T (M)), (T (M)) ? (T (M)). 1,0 1,0 1,0 ? The bundle T (M) is the CR structure of M, and C maps f : M ? N of CR 1,0 manifolds preserving the CR structures (i.e., f T (M)?T (N)) areCRmaps.CR ? 1,0 1,0 manifolds and CR maps form a category containing that of complex manifolds and holomorphic maps. The most interesting examples of CR manifolds appear, however, as real submanifolds of some complex manifold. For instance, any real hypersurface n M in C admits a CR structure, naturally induced by the complex structure of the ambient space 1,0 n T (M)=T (C)? [T(M)?C]. 1,0 1 n n Let(z,...,z) be the natural complex coordinates onC . Locally, in a neighborhood of each point of M, one may produce a frame{L :1? ?n?1} ofT (M). G- ? 1,0 metrically speaking, eachL is a (complex) vector ?eld tangent to M. From the point ? of view of the theory of PDEs, the L 's are purely tangential ?rst-order differential ? operators nProduct Identifiers
PublisherBirkhäuser Boston
ISBN-100817643885
ISBN-139780817643881
eBay Product ID (ePID)96048053
Product Key Features
Number of PagesXvi, 488 Pages
LanguageEnglish
Publication NameDifferential Geometry and Analysis on Cr Manifolds
Publication Year2006
SubjectDifferential Equations / General, Geometry / Differential, General, Mathematical Analysis
TypeTextbook
AuthorSorin Dragomir, Giuseppe Tomassini
Subject AreaMathematics
SeriesProgress in Mathematics Ser.
FormatBook, Hardcover
Dimensions
Item Height0.4 in
Item Weight68.4 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional