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Geometry of Cauchy-riemann Submanifolds.

Author: Dragomir, Sorin; Hasan, Shahid Mohammad; Al-Solamy, Falleh R. M.; Sorin Dragomir; Mohammad Hasan Shahid; Falleh Rajallah M Al-Solamy
Publisher: Springer Verlag 2016.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
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,  Read more...
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Document Type: Book
All Authors / Contributors: Dragomir, Sorin; Hasan, Shahid Mohammad; Al-Solamy, Falleh R. M.; Sorin Dragomir; Mohammad Hasan Shahid; Falleh Rajallah M Al-Solamy
ISBN: 9789811009150 9811009155
OCLC Number: 944473570
Description: p. cm.
Contents: 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.

Abstract:

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.

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