یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (p. 390-400) and index.
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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.
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
JSTOR
شماره انبار
22573/ctt1bqrsgz
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
9780691004983
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Functions of several complex variables.
موضوع مستند نشده
Holomorphic mappings.
موضوع مستند نشده
Submanifolds.
موضوع مستند نشده
Functions of several complex variables.
موضوع مستند نشده
Holomorphic mappings.
موضوع مستند نشده
MATHEMATICS-- Geometry-- General.
موضوع مستند نشده
Submanifolds.
مقوله موضوعی
موضوع مستند نشده
MAT-- 012000
رده بندی ديویی
شماره
516
.
362
ويراست
23
رده بندی کنگره
شماره رده
QA649
نشانه اثر
.
B36
1999eb
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )