03878nam a22005295i 4500 978-981-10-0916-7 DE-He213 20210619103026.0 cr nn 008mamaa 160531s2016 si | s |||| 0|eng d 9789811009167 978-981-10-0916-7 10.1007/978-981-10-0916-7 doi QA641-670 PBMP bicssc MAT012030 bisacsh PBMP thema 516.36 23 Geometry of Cauchy-Riemann Submanifolds [electronic resource] / edited by Sorin Dragomir, Mohammad Hasan Shahid, Falleh R. Al-Solamy. 1st ed. 2016. Singapore : Springer Singapore : Imprint: Springer, 2016. XVIII, 390 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 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. Differential geometry. Mathematical physics. Convex geometry . Discrete geometry. Differential Geometry. https://scigraph.springernature.com/ontologies/product-market-codes/M21022 Mathematical Physics. https://scigraph.springernature.com/ontologies/product-market-codes/M35000 Convex and Discrete Geometry. https://scigraph.springernature.com/ontologies/product-market-codes/M21014 Dragomir, Sorin. editor. edt http://id.loc.gov/vocabulary/relators/edt Shahid, Mohammad Hasan. editor. edt http://id.loc.gov/vocabulary/relators/edt Al-Solamy, Falleh R. editor. edt http://id.loc.gov/vocabulary/relators/edt SpringerLink (Online service) Springer Nature eBook Printed edition: 9789811009150 Printed edition: 9789811009174 Printed edition: 9789811092831 https://doi.org/10.1007/978-981-10-0916-7 ZDB-2-SMA ZDB-2-SXMS Mathematics and Statistics (SpringerNature-11649) Mathematics and Statistics (R0) (SpringerNature-43713)