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Differential Geometry and Analysis on CR Manifolds

2007-06-10 Mathematics
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Release : 2007-06-10
Genre : Mathematics
Kind : eBook
Book Rating : 830/5 ( reviews)

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Book Synopsis Differential Geometry and Analysis on CR Manifolds by : Sorin Dragomir

Download or read book Differential Geometry and Analysis on CR Manifolds written by Sorin Dragomir. This book was released on 2007-06-10. Available in PDF, EPUB and Kindle. Book excerpt: Presents many major differential geometric acheivements in the theory of CR manifolds for the first time in book form Explains how certain results from analysis are employed in CR geometry Many examples and explicitly worked-out proofs of main geometric results in the first section of the book making it suitable as a graduate main course or seminar textbook Provides unproved statements and comments inspiring further study

Geometry and Analysis of Cauchy-Riemann Manifolds

1998 CR submanifolds
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Release : 1998
Genre : CR submanifolds
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Geometry and Analysis of Cauchy-Riemann Manifolds by : Wai Keung Wong

Download or read book Geometry and Analysis of Cauchy-Riemann Manifolds written by Wai Keung Wong. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt:

Foliations in Cauchy-Riemann Geometry

2007 Mathematics
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Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 044/5 ( reviews)

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Book Synopsis Foliations in Cauchy-Riemann Geometry by : Elisabetta Barletta

Download or read book Foliations in Cauchy-Riemann Geometry written by Elisabetta Barletta. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: The authors study the relationship between foliation theory and differential geometry and analysis on Cauchy-Riemann (CR) manifolds. The main objects of study are transversally and tangentially CR foliations, Levi foliations of CR manifolds, solutions of the Yang-Mills equations, tangentially Monge-Ampere foliations, the transverse Beltrami equations, and CR orbifolds. The novelty of the authors' approach consists in the overall use of the methods of foliation theory and choice of specific applications. Examples of such applications are Rea's holomorphic extension of Levi foliations, Stanton's holomorphic degeneracy, Boas and Straube's approximately commuting vector fields method for the study of global regularity of Neumann operators and Bergman projections in multi-dimensional complex analysis in several complex variables, as well as various applications to differential geometry. Many open problems proposed in the monograph may attract the mathematical community and lead to further applications of

Geometry of Cauchy-Riemann Submanifolds

2016-05-31 Mathematics
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Release : 2016-05-31
Genre : Mathematics
Kind : eBook
Book Rating : 163/5 ( reviews)

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Book Synopsis Geometry of Cauchy-Riemann Submanifolds by : Sorin Dragomir

Download or read book Geometry of Cauchy-Riemann Submanifolds written by Sorin Dragomir. This book was released on 2016-05-31. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. CR structures are a bundle theoretic recast of the tangential Cauchy–Riemann equations in complex analysis involving several complex variables. The book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR submanifolds. Intended as a tribute to Professor Aurel Bejancu, who discovered the notion of a CR submanifold of a Hermitian manifold in 1978, the book provides an up-to-date overview of several topics in the geometry of CR submanifolds. Presenting detailed information on the most recent advances in the area, it represents a useful resource for mathematicians and physicists alike.

Selected Topics in Cauchy-Riemann Geometry

2001 Mathematics
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Release : 2001
Genre : Mathematics
Kind : eBook
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Book Synopsis Selected Topics in Cauchy-Riemann Geometry by : Sorin Dragomir

Download or read book Selected Topics in Cauchy-Riemann Geometry written by Sorin Dragomir. This book was released on 2001. Available in PDF, EPUB and Kindle. Book excerpt:

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