عنوان

Real submanifolds in complex space and their mappings /

(Number (ISBN

1400883962

(Number (ISBN

9781400883967

Erroneous ISBN

0691004986

Erroneous ISBN

9780691004983

Number

b764187

Title Proper

Real submanifolds in complex space and their mappings /

General Material Designation

[Book]

First Statement of Responsibility

M. Salah Baouendi, Peter Ebenfelt, Linda Preiss Rothschild.

Place of Publication, Distribution, etc.

Princeton, NJ :

Name of Publisher, Distributor, etc.

Princeton University Press,

Date of Publication, Distribution, etc.

©1999.

Specific Material Designation and Extent of Item

1 online resource

Series Title

Princeton mathematical series ;

Volume Designation

47

Text of Note

Includes bibliographical references (p. 390-400) and index.

Text of Note

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.

Source for Acquisition/Subscription Address

JSTOR

Stock Number

22573/ctt1bqrsgz

International Standard Book Number

9780691004983

Functions of several complex variables.

Holomorphic mappings.

Submanifolds.

Functions of several complex variables.

Holomorphic mappings.

MATHEMATICS-- Geometry-- General.

Submanifolds.

MAT-- 012000

Number

Edition

Class number

Book number

Baouendi, M. Salah,1937-2011.

Ebenfelt, Peter.

Rothschild, Linda Preiss,1945-

Date of Transaction

20201204233620.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y