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.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!