Mappings of Real Submanifolds in Complex Spaces of Different Dimensions - 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 Mappings of Real Submanifolds in Complex Spaces of Different Dimensions write by Bernhard Lamel. This book was released on 2000. Mappings of Real Submanifolds in Complex Spaces of Different Dimensions available in PDF, EPUB and Kindle.
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.
Transversality of CR Mappings Between CR Submanifolds of Complex Spaces
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
Intrinsic Measures on Complex Manifolds and Holomorphic Mappings
Intrinsic Measures on Complex Manifolds and Holomorphic Mappings - 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 Intrinsic Measures on Complex Manifolds and Holomorphic Mappings write by Donald A. Eisenman. This book was released on 1970. Intrinsic Measures on Complex Manifolds and Holomorphic Mappings available in PDF, EPUB and Kindle.
Mathematical Reviews
Mathematical Reviews - 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 Mathematical Reviews write by . This book was released on 2003. Mathematical Reviews available in PDF, EPUB and Kindle.
