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Geometry of Cauchy-Riemann Submanifolds / edited by Sorin Dragomir, Mohammad Hasan Shahid, Falleh R. Al-Solamy

1st ed. 2016.
出版者 (Singapore : Springer Nature Singapore : Imprint: Springer)
出版年 2016
大きさ XVIII, 390 p : online resource
著者標目 Dragomir, Sorin editor
Shahid, Mohammad Hasan editor
Al-Solamy, Falleh R editor
SpringerLink (Online service)
件 名 LCSH:Geometry, Differential
LCSH:Mathematical physics
LCSH:Convex geometry 
LCSH:Discrete geometry
FREE:Differential Geometry
FREE:Mathematical Physics
FREE:Convex and Discrete Geometry
一般注記 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
HTTP:URL=https://doi.org/10.1007/978-981-10-0916-7
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Springer eBooks 9789811009167
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EB00208009

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データ種別 電子ブック
分 類 LCC:QA641-670
DC23:516.36
書誌ID 4000115138
ISBN 9789811009167

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