Submersions of CR Submanifolds

Mohammad Hasan Shahid (), Falleh R. Al-Solamy () and Mohammed Jamali ()
Additional contact information
Mohammad Hasan Shahid: Jamia Millia Islamia, Faculty of Natural Science, Department of Mathematics
Falleh R. Al-Solamy: King Abdul Aziz University, Faculty of Science, Department of Mathematics
Mohammed Jamali: Al-falah University, Department of Mathematics

Chapter Chapter 11 in Geometry of Cauchy-Riemann Submanifolds, 2016, pp 311-342 from Springer

Abstract: Abstract O’Neill introduced the notion of Riemannian submersions (cf. O’Neill, Mich. Math. J. 13, 459–469, 1966, [28]). For the submersion $$\pi :M\longrightarrow N$$ π : M ⟶ N of a CR submanifold M of a Kaehler manifold $$\bar{M}$$ M ¯ onto an almost Hermitian manifold N, Kobayashi (cf. Kobayashi, Tohoku Math. J. 39, 95–100, 1987, [21]) proved that N becomes a Kaehler manifold. In this article, we briefly summarize the contributions on submersions of CR submanifolds of some almost Hermitian manifolds and almost contact metric manifolds.

Keywords: CR submanifolds; Horizontal conformally submersion; Mixed foliate; Extrinsic hypersphere; Einstein space; 53C15; 53C40; 53C55; 53D15 (search for similar items in EconPapers)
Date: 2016
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-10-0916-7_11

Ordering information: This item can be ordered from
http://www.springer.com/9789811009167

DOI: 10.1007/978-981-10-0916-7_11

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().