Real And Complex Submanifolds

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Real Submanifolds In Complex Space And Their Mappings

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Author : M. Salah Baouendi
language : en
Publisher: Princeton University Press
Release Date : 1999

Real Submanifolds In Complex Space And Their Mappings written by M. Salah Baouendi and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

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

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Author : R. Narasimhan
language : en
Publisher: Elsevier
Release Date : 1985-12-01

Analysis On Real And Complex Manifolds written by R. Narasimhan and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-12-01 with Mathematics categories.

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.

Hermitian Grassmannian Submanifolds

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Author : Young Jin Suh
language : en
Publisher: Springer
Release Date : 2017-09-14

Hermitian Grassmannian Submanifolds written by Young Jin Suh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-14 with Mathematics categories.

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.

Geometry And Topology Of Submanifolds Vi Pure And Applied Differential Geometry And The Theory Of Submanifolds

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Author : Franki Dillen
language : en
Publisher: World Scientific
Release Date : 1994-09-30

Geometry And Topology Of Submanifolds Vi Pure And Applied Differential Geometry And The Theory Of Submanifolds written by Franki Dillen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-09-30 with categories.

The topics covered are pure differential geometry, especially submanifolds and affine differential geometry, and applications of geometry to human vision, robotics, and gastro-entrology.

Symposium On The Differential Geometry Of Submanifolds

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Author : Luc Vrancken
language : en
Publisher: Lulu.com
Release Date : 2008-06-30

Symposium On The Differential Geometry Of Submanifolds written by Luc Vrancken and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-30 with Mathematics categories.

This book contains the proceedings of the «Symposium on differential geometry» which took place at the Université de Valenciennes et du Hainaut Cambrésis from July 3, 2007 until July 7, 2007.The main theme of the conference was the differential geometry of submanifolds. Special emphasis was put on the following topics:Lagrangian immersions, Minimal immersions and constant mean curvature immersions, Harmonic maps and harmonic morphisms, Variational problems, Affine differential geometry. This conference follows the tradition of the conferences in the series of « Geometry and Topology of Submanifolds », which started with the Luminy meeting in 1987 and then continued with various meetings at different places in Europe, such as amongst others Avignon, Leeds, Leuven, Brussels, Nordfjordeid, Berlin, Warszawa, Bedlewo and also in China (Beijing, 1998).

Differential Geometry Of Warped Product Manifolds And Submanifolds

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Author : Bang-yen Chen
language : en
Publisher: World Scientific
Release Date : 2017-05-29

Differential Geometry Of Warped Product Manifolds And Submanifolds written by Bang-yen Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-29 with Mathematics categories.

A warped product manifold is a Riemannian or pseudo-Riemannian manifold whose metric tensor can be decomposed into a Cartesian product of the y geometry and the x geometry — except that the x-part is warped, that is, it is rescaled by a scalar function of the other coordinates y. The notion of warped product manifolds plays very important roles not only in geometry but also in mathematical physics, especially in general relativity. In fact, many basic solutions of the Einstein field equations, including the Schwarzschild solution and the Robertson-Walker models, are warped product manifolds.The first part of this volume provides a self-contained and accessible introduction to the important subject of pseudo-Riemannian manifolds and submanifolds. The second part presents a detailed and up-to-date account on important results of warped product manifolds, including several important spacetimes such as Robertson-Walker's and Schwarzschild's.The famous John Nash's embedding theorem published in 1956 implies that every warped product manifold can be realized as a warped product submanifold in a suitable Euclidean space. The study of warped product submanifolds in various important ambient spaces from an extrinsic point of view was initiated by the author around the beginning of this century.The last part of this volume contains an extensive and comprehensive survey of numerous important results on the geometry of warped product submanifolds done during this century by many geometers.

Differential Geometry Of Lightlike Submanifolds

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Author : Krishan L. Duggal
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-02

Differential Geometry Of Lightlike Submanifolds written by Krishan L. Duggal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-02 with Mathematics categories.

This book presents research on the latest developments in differential geometry of lightlike (degenerate) subspaces. The main focus is on hypersurfaces and a variety of submanifolds of indefinite Kählerian, Sasakian and quaternion Kähler manifolds.

Proceedings Of The Workshop Contemporary Geometry And Related Topics

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Author : Neda Bokan
language : en
Publisher: World Scientific
Release Date : 2004

Proceedings Of The Workshop Contemporary Geometry And Related Topics written by Neda Bokan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

Readership: Researchers in geometry & topology, nonlinear science and dynamical systems.

Unpublished Manuscripts

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Author : Lars Hörmander
language : en
Publisher: Springer
Release Date : 2018-06-19

Unpublished Manuscripts written by Lars Hörmander and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-19 with Mathematics categories.

This book presents, for the first time, the unpublished manuscripts of Lars Hörmander, written between 1951 and 2007. Hörmander himself organised the manuscripts and also wrote the notes explaining their origins, presenting the material in the form he fully intended it to be published in. As his daughter, Sofia Broström, mentions in the Foreword, towards the end of his life, Hörmander "carefully went through his unpublished manuscripts, checking and revising each of them with his very critical eye, deciding what should be kept for posterity and what should be thrown out". He also compiled the complete bibliography of all his published mathematical works that is included at the end of the present book. Of both historical and mathematical value, the contents of this book will undoubtedly inspire mathematicians of different horizons.

Topics In Modern Differential Geometry

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Author : Stefan Haesen
language : en
Publisher: Springer
Release Date : 2016-12-21

Topics In Modern Differential Geometry written by Stefan Haesen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-21 with Mathematics categories.

A variety of introductory articles is provided on a wide range of topics, including variational problems on curves and surfaces with anisotropic curvature. Experts in the fields of Riemannian, Lorentzian and contact geometry present state-of-the-art reviews of their topics. The contributions are written on a graduate level and contain extended bibliographies. The ten chapters are the result of various doctoral courses which were held in 2009 and 2010 at universities in Leuven, Serbia, Romania and Spain.