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Showing 1 - 6 of 6 matches in All Departments

Differential Geometry and Analysis on CR Manifolds (Hardcover, 2006 ed.): Sorin Dragomir, Giuseppe Tomassini Differential Geometry and Analysis on CR Manifolds (Hardcover, 2006 ed.)
Sorin Dragomir, Giuseppe Tomassini
R5,133 Discovery Miles 51 330 Ships in 12 - 17 working days

The study of CR manifolds lie at the intersection of three main mathematical disciplines, partial differential equations, complex analysis in several complex variables, and differential geometry. While the complex analysis and PDEs aspect have been intensly studied in the last fifty years, much effort has been recently made to understand the differential geometric side of the subject.This monograph provides a unified presentation of several differential geometric aspects in the theory of CR manifolds and tangential Cauchy-Riemann equations. It presents topics from the Tanaka-Webster connection, a key contributor to the birth of pseudohermitian geometry, to the major differential geometric acheivements in the theory of CR manifolds, such as Fefferman's metric, pseudo-Einstein structures and the Lee conjecture, CR immersions, subelliptic harmonic maps as a local manifestation of pseudoharmonic maps from a CR manifold, Yang-Mills fields on CR manifolds, to name several. It also aims at explaining how certain results from analysis are employed in CR geometry. results and stimulating unproved statements and comments referring to the most recent aspects of the theory, this monograph is suitable for researchers and graduate students in differential geometry, complex analysis, and PDEs.

Geometry of Cauchy-Riemann Submanifolds (Hardcover, 1st ed. 2016): Sorin Dragomir, Mohammad Hasan Shahid, Falleh R. Al-Solamy Geometry of Cauchy-Riemann Submanifolds (Hardcover, 1st ed. 2016)
Sorin Dragomir, Mohammad Hasan Shahid, Falleh R. Al-Solamy
R3,573 Discovery Miles 35 730 Ships in 12 - 17 working days

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.

Locally Conformal Kahler Geometry (Hardcover, 1998 ed.): Sorin Dragomir, Liuiu Ornea Locally Conformal Kahler Geometry (Hardcover, 1998 ed.)
Sorin Dragomir, Liuiu Ornea
R2,988 Discovery Miles 29 880 Ships in 10 - 15 working days

. E C, 0 < 1>'1 < 1, and n E Z, n ~ 2. Let~.>. be the O-dimensional Lie n group generated by the transformation z ~ >.z, z E C - {a}. Then (cf.

Geometry of Cauchy-Riemann Submanifolds (Paperback, Softcover reprint of the original 1st ed. 2016): Sorin Dragomir, Mohammad... Geometry of Cauchy-Riemann Submanifolds (Paperback, Softcover reprint of the original 1st ed. 2016)
Sorin Dragomir, Mohammad Hasan Shahid, Falleh R. Al-Solamy
R3,908 Discovery Miles 39 080 Ships in 10 - 15 working days

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.

Locally Conformal Kahler Geometry (Paperback, Softcover reprint of the original 1st ed. 1998): Sorin Dragomir, Liuiu Ornea Locally Conformal Kahler Geometry (Paperback, Softcover reprint of the original 1st ed. 1998)
Sorin Dragomir, Liuiu Ornea
R2,804 Discovery Miles 28 040 Ships in 10 - 15 working days

. E C, 0 < 1>'1 < 1, and n E Z, n ~ 2. Let~.>. be the O-dimensional Lie n group generated by the transformation z ~ >.z, z E C - {a}. Then (cf.

Harmonic Vector Fields - Variational Principles and Differential Geometry (Hardcover): Sorin Dragomir, Domenico Perrone Harmonic Vector Fields - Variational Principles and Differential Geometry (Hardcover)
Sorin Dragomir, Domenico Perrone
R3,131 R2,903 Discovery Miles 29 030 Save R228 (7%) Ships in 12 - 17 working days

An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems. The book provides the main results of harmonic vector fields with an emphasis on Riemannian manifolds using past and existing problems to assist you in analyzing and furnishing your own conclusion for further research. It emphasizes a combination of theoretical development with practical applications for a solid treatment of the subject useful to those new to research using differential geometric methods in extensive detail.
A useful tool for any scientist conducting research in the field of harmonic analysisProvides applications and modern techniques to problem solving A clear and concise exposition of differential geometry of harmonic vector fields on Reimannian manifoldsPhysical Applications of Geometric Methods

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