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Real Submanifolds in Complex Space and Their Mappings
Baouendi, M.Salah; Rothschild, Linda Preiss; Ebenfelt, Peter (Associate Professor Of Mathematics, Royal Institute Of Technology, Stockholm, Sweden)
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Description for Real Submanifolds in Complex Space and Their Mappings
Hardcover. Presents many of the main developments in the study of real submanifolds in complex space, providing background material for researchers and advanced graduate students. This work addresses topics such as the holomorphic extension of functions and mappings that satisfy the tangential Cauchy-Riemann equations on real submanifolds. Series: Princeton Mathematical Series. Num Pages: 416 pages, black & white illustrations. BIC Classification: PBKD; PBKJ; PBMP; PBMS; PBMW. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 33. Weight in Grams: 714.
This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial background material for researchers and advanced graduate students. The techniques in this area borrow from real and complex analysis and partial differential equations, as well as from differential, algebraic, and analytical geometry. In turn, these latter areas have been enriched over the years by the study of problems in several complex variables addressed here. The authors, M. Salah Baouendi, Peter Ebenfelt, and Linda Preiss Rothschild, include extensive preliminary material to make the book accessible to nonspecialists. One of the most important topics that the authors address here is the holomorphic extension of functions and mappings that satisfy the tangential Cauchy-Riemann equations on real submanifolds. They present the main results in this area with a novel and self-contained approach. The book also devotes considerable attention to the study of holomorphic mappings between real submanifolds, and proves finite determination of such mappings by their jets under some optimal assumptions. The authors also give a thorough comparison of the various nondegeneracy conditions for manifolds and mappings and present new geometric interpretations of these conditions. Throughout the book, Cauchy-Riemann vector fields and their orbits play a central role and are presented in a setting that is both general and elementary.
Product Details
Format
Hardback
Publication date
1998
Publisher
Princeton University Press United States
Number of pages
409
Condition
New
Series
Princeton Mathematical Series
Number of Pages
416
Place of Publication
New Jersey, United States
ISBN
9780691004983
SKU
V9780691004983
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Baouendi, M.Salah; Rothschild, Linda Preiss; Ebenfelt, Peter (Associate Professor Of Mathematics, Royal Institute Of Technology, Stockholm, Sweden)
M. Salah Baouendi and Linda Preiss Rothschild are Professors of Mathematics at the University of California, San Diego. Peter Ebenfelt is Associate Professor of Mathematics at the Royal Institute of Technology, Stockholm, Sweden.
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