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Geometry of Cauchy-Riemann submanifolds

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Geometry of Cauchy-Riemann submanifolds/ edited by Sorin Dragomir, Mohammad Hasan Shahid, Falleh R. Al-Solamy.
其他作者:	Dragomir, Sorin.
出版者:	Singapore :Springer Singapore : : 2016.,
面頁冊數:	xviii, 390 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	CR submanifolds. -
電子資源:	http://dx.doi.org/10.1007/978-981-10-0916-7
ISBN:	9789811009167

Geometry of Cauchy-Riemann submanifolds
Geometry of Cauchy-Riemann submanifolds[electronic resource] /edited by Sorin Dragomir, Mohammad Hasan Shahid, Falleh R. Al-Solamy. - Singapore :Springer Singapore :2016. - xviii, 390 p. :ill., digital ;24 cm.

Chapter 1. CR-warped submanifolds in Kaehler manifolds -- Chapter 2. CR Submanifolds and -invariants -- Chapter 3. CR Submanifolds of the nearly Kahler 6-sphere -- Chapter 4. CR submanifolds of Hermitian manifolds and the tangential C-R equations -- Chapter 5. CR Submanifolds in (l.c.a.) Kaehler and S-manifolds -- Chapter 6. Lorentzian geometry and CR submanifolds -- Chapter 7. Submanifolds in holomorphic statistical manifolds -- Chapter 8. CR Submanifolds in complex and Sasakian space forms -- Chapter 9. CR-Doubly warped product submanifolds -- Chapter 10. Ideal CR submanifolds -- Chapter 11. Submersions of CR submanifolds -- Chapter 12. CR Submanifolds of semi-Kaehler manifolds -- Chapter 13. Paraquaternionic CR submanifolds.

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.

ISBN: 9789811009167

Standard No.: 10.1007/978-981-10-0916-7doiSubjects--Topical Terms:

1109399
CR submanifolds.

LC Class. No.: QA649

Dewey Class. No.: 516.36

Geometry of Cauchy-Riemann submanifolds
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245 0 0 $a Geometry of Cauchy-Riemann submanifolds $h [electronic resource] / $c edited by Sorin Dragomir, Mohammad Hasan Shahid, Falleh R. Al-Solamy.
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300 $a xviii, 390 p. : $b ill., digital ; $c 24 cm.
505 0 $a Chapter 1. CR-warped submanifolds in Kaehler manifolds -- Chapter 2. CR Submanifolds and -invariants -- Chapter 3. CR Submanifolds of the nearly Kahler 6-sphere -- Chapter 4. CR submanifolds of Hermitian manifolds and the tangential C-R equations -- Chapter 5. CR Submanifolds in (l.c.a.) Kaehler and S-manifolds -- Chapter 6. Lorentzian geometry and CR submanifolds -- Chapter 7. Submanifolds in holomorphic statistical manifolds -- Chapter 8. CR Submanifolds in complex and Sasakian space forms -- Chapter 9. CR-Doubly warped product submanifolds -- Chapter 10. Ideal CR submanifolds -- Chapter 11. Submersions of CR submanifolds -- Chapter 12. CR Submanifolds of semi-Kaehler manifolds -- Chapter 13. Paraquaternionic CR submanifolds.
520 $a 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.
650 0 $a CR submanifolds. $3 1109399
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650 2 4 $a Differential Geometry. $3 671118
650 2 4 $a Mathematical Physics. $3 786661
650 2 4 $a Convex and Discrete Geometry. $3 672138
700 1 $a Dragomir, Sorin. $3 1109396
700 1 $a Shahid, Mohammad Hasan. $3 1109397
700 1 $a Al-Solamy, Falleh R. $3 1109398
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856 4 0 $u http://dx.doi.org/10.1007/978-981-10-0916-7
950 $a Mathematics and Statistics (Springer-11649)