Author: Slobodan M. KojcinovicPublisher:
ISBN:
Category :
Languages : en
Pages : 108
Book Description
Extension of CR Mappings Between Generic Algebraic Submanifolds
Author: Slobodan M. KojcinovicPublisher:
ISBN:
Category :
Languages : en
Pages : 108
Book Description
Real Submanifolds in Complex Space and Their Mappings (PMS-47)
Author: M. Salah BaouendiPublisher: Princeton University Press
ISBN: 1400883962
Category : Mathematics
Languages : en
Pages : 418
Book Description
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.
The Asian Journal of Mathematics
Author: Dissertation Abstracts International
Author: Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 764
Book Description
Mathematical Reviews
Author: Bulletin (new Series) of the American Mathematical Society
Author: Complex Analysis
Author: Peter EbenfeltPublisher: Springer Science & Business Media
ISBN: 3034600097
Category : Mathematics
Languages : en
Pages : 353
Book Description
This volume presents the proceedings of a conference on Several Complex Variables, PDE’s, Geometry, and their interactions held in 2008 at the University of Fribourg, Switzerland, in honor of Linda Rothschild.
Handbook of Dynamical Systems
Author: H. BroerPublisher: Elsevier
ISBN: 0080932266
Category : Mathematics
Languages : en
Pages : 556
Book Description
In this volume, the authors present a collection of surveys on various aspects of the theory of bifurcations of differentiable dynamical systems and related topics. By selecting these subjects, they focus on those developments from which research will be active in the coming years. The surveys are intended to educate the reader on the recent literature on the following subjects: transversality and generic properties like the various forms of the so-called Kupka-Smale theorem, the Closing Lemma and generic local bifurcations of functions (so-called catastrophe theory) and generic local bifurcations in 1-parameter families of dynamical systems, and notions of structural stability and moduli. - Covers recent literature on various topics related to the theory of bifurcations of differentiable dynamical systems - Highlights developments that are the foundation for future research in this field - Provides material in the form of surveys, which are important tools for introducing the bifurcations of differentiable dynamical systems
Bulletin of the American Mathematical Society
Author: Several Complex Variables
Author: Michael SchneiderPublisher: Cambridge University Press
ISBN: 9780521770866
Category : Mathematics
Languages : en
Pages : 582
Book Description
Expository articles on Several Complex Variables and its interactions with PDEs, algebraic geometry, number theory, and differential geometry, first published in 2000.