Submersions of CR Submanifolds

Mohammad Hasan Shahid,Falleh R Al-Solamy,Mohammed Jamali

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

Submersions of CR Submanifolds

Mohammad Hasan Shahid, Falleh R Al-Solamy + Show 1 more

https://doi.org/10.1007/978-981-10-0916-7_11

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Publication Date: Jan 1, 2016

Citations: 1

Affiliation: Jamia Millia Islamia, King Abdul Aziz University Hospital, Dijlah University College

#Hermitian Manifold #Kaehler Manifold + Show 2 more

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Abstract

O’Neill introduced the notion of Riemannian submersions (cf. O’Neill, Mich. Math. J. 13, 459–469, 1966, [28]). For the submersion \(\pi :M\longrightarrow N\) of a CR submanifold M of a Kaehler manifold \(\bar{M}\) 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.

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