Transversality of CR Mappings Between CR Submanifolds of Complex Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Transversality of CR Mappings Between CR Submanifolds of Complex Spaces write by Son Ngoc Duong. This book was released on 2012. Transversality of CR Mappings Between CR Submanifolds of Complex Spaces available in PDF, EPUB and Kindle. We investigate the geometric property of transversality of holomorphic, formal or CR mappings between real-analytic, formal or smooth generic submanifolds of complex spaces of equidimension as well as of different dimensions. In Chapter 3, we shall consider the CR transversality in equidimension case. The main purpose of this chapter is to show that a holomorphic, formal or smooth CR mapping sending a real-analytic, smooth or formal generic submanifold M into such another Mʹ is CR transversal to the target, provided that the source manifold is of finite bracket type and the mapping is of generic full rank. This result and its corollary completely resolve two questions posed by Peter Ebenfelt and Linda Preiss Rothschild in a paper from 2006. We also show that under a very mild assumption on the source manifold, the generic full rank condition imposed on the mapping is also necessary for the CR transversality to hold. This result confirms a conjecture in a paper by Bernhard Lamel and Nordine Mir. In Chapter 4, we consider the transversality of mappings when the target manifold is of higher dimension. We will restrict ourself to the situation in which both manifolds M and Mʹ are hypersurfaces in Cn1 and CN1 respectively, where 1
Real Submanifolds in Complex Space and Their Mappings (PMS-47)
Real Submanifolds in Complex Space and Their Mappings (PMS-47) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Real Submanifolds in Complex Space and Their Mappings (PMS-47) write by M. Salah Baouendi. This book was released on 2016-06-02. Real Submanifolds in Complex Space and Their Mappings (PMS-47) available in PDF, EPUB and Kindle. 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.
Complex Analysis
Complex Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Complex Analysis write by Peter Ebenfelt. This book was released on 2011-01-30. Complex Analysis available in PDF, EPUB and Kindle. 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.
CR Manifolds and the Tangential Cauchy Riemann Complex
CR Manifolds and the Tangential Cauchy Riemann Complex - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook CR Manifolds and the Tangential Cauchy Riemann Complex write by Al Boggess. This book was released on 2017-09-20. CR Manifolds and the Tangential Cauchy Riemann Complex available in PDF, EPUB and Kindle. CR Manifolds and the Tangential Cauchy Riemann Complex provides an elementary introduction to CR manifolds and the tangential Cauchy-Riemann Complex and presents some of the most important recent developments in the field. The first half of the book covers the basic definitions and background material concerning CR manifolds, CR functions, the tangential Cauchy-Riemann Complex and the Levi form. The second half of the book is devoted to two significant areas of current research. The first area is the holomorphic extension of CR functions. Both the analytic disc approach and the Fourier transform approach to this problem are presented. The second area of research is the integral kernal approach to the solvability of the tangential Cauchy-Riemann Complex. CR Manifolds and the Tangential Cauchy Riemann Complex will interest students and researchers in the field of several complex variable and partial differential equations.
Complex Geometry and Dynamics
Complex Geometry and Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Complex Geometry and Dynamics write by John Erik Fornæss. This book was released on 2015-11-05. Complex Geometry and Dynamics available in PDF, EPUB and Kindle. This book focuses on complex geometry and covers highly active topics centered around geometric problems in several complex variables and complex dynamics, written by some of the world’s leading experts in their respective fields. This book features research and expository contributions from the 2013 Abel Symposium, held at the Norwegian University of Science and Technology Trondheim on July 2-5, 2013. The purpose of the symposium was to present the state of the art on the topics, and to discuss future research directions.
