Real and Complex Submanifolds - 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 and Complex Submanifolds write by Young Jin Suh. This book was released on 2014-12-05. Real and Complex Submanifolds available in PDF, EPUB and Kindle. Edited in collaboration with the Grassmann Research Group, this book contains many important articles delivered at the ICM 2014 Satellite Conference and the 18th International Workshop on Real and Complex Submanifolds, which was held at the National Institute for Mathematical Sciences, Daejeon, Republic of Korea, August 10–12, 2014. The book covers various aspects of differential geometry focused on submanifolds, symmetric spaces, Riemannian and Lorentzian manifolds, and Kähler and Grassmann manifolds.
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.
Analysis on Real and Complex Manifolds
Analysis on Real and Complex Manifolds - 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 Analysis on Real and Complex Manifolds write by R. Narasimhan. This book was released on 1985-12-01. Analysis on Real and Complex Manifolds available in PDF, EPUB and Kindle. Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem, Sard's theorem and Whitney's approximation theorem. The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincaré and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality theorem. Chapter 3 includes characterizations of linear differentiable operators, due to Peetre and Hormander. The inequalities of Garding and of Friedrichs on elliptic operators are proved and are used to prove the regularity of weak solutions of elliptic equations. The chapter ends with the approximation theorem of Malgrange-Lax and its application to the proof of the Runge theorem on open Riemann surfaces due to Behnke and Stein.
On Stability of Compact Submanifolds of Complex Manifolds
On Stability of Compact Submanifolds of Complex Manifolds - 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 On Stability of Compact Submanifolds of Complex Manifolds write by Kunihiko Kodaira. This book was released on 1961. On Stability of Compact Submanifolds of Complex Manifolds available in PDF, EPUB and Kindle. Stability of compact submanifolds of complex manifolds and some related topics are discussed. A compact submanifold V of a complex manifold W is said to be stable if any small deformation W T OF contains a small deformation Vt of V. Let psi be the sheaf over V of germs of holomorphic sections of the normal bundle of V in W. If the first cohomology group H1(V, psi) vanishes then V is a stable submanifold of W.A fibre structure of a compact fibred complex manifold M is said to be stable if any small deformation Mt of M retains a fibre structure. If each fibre of M is regular then the fibre structure of M is stable. (Author).
Hermitian–Grassmannian Submanifolds
Hermitian–Grassmannian Submanifolds - 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 Hermitian–Grassmannian Submanifolds write by Young Jin Suh. This book was released on 2017-09-14. Hermitian–Grassmannian Submanifolds available in PDF, EPUB and Kindle. This book presents the proceedings of the 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds, which was held at the Kyungpook National University from June 21 to 25, 2016. The Workshop was supported by the Research Institute of Real and Complex Manifolds (RIRCM) and the National Research Foundation of Korea (NRF). The Organizing Committee invited 30 active geometers of differential geometry and related fields from all around the globe to discuss new developments for research in the area. These proceedings provide a detailed overview of recent topics in the field of real and complex submanifolds.
