On submersion of CR-submanifolds of l.c.q.K. manifold
type: Item
instance of: scholarly article
title: On submersion of CR-submanifolds of l.c.q.K. manifold
zbMATH Open document ID: 1256.32035
DOI: 10.5402/2012/309145
author: Mahmood Jaafari Matehkolaee
author: Mohd. Jamali
author: Majid Ali Choudhary
published in: ISRN Geometry
publication date: 2013-01-10T00:00:00Z
review text: Summary: We study submersion of CR-submanifolds of an l.c.q.K. manifold. We show that if an almost Hermitian manifold \(B\) admits a Riemannian submersion \(\pi : M \to B\) of a CR-submanifold \(M\) of a locally conformal quaternion Kähler manifold \(\overline{M}\), then \(B\) is a locally conformal quaternion Kähler manifold.
Mathematics Subject Classification ID: 32V99
Mathematics Subject Classification ID: 53C26
zbMATH DE Number: 6123875
zbMATH Keywords: CR-manifolds
zbMATH Keywords: quaternion Hermitian manifold
Wikidata QID: Q58690768
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/309145
OpenAlex ID: W2075318153
cites work: On locally conformal almost Kaehler manifolds
cites work: Locally conformal Kähler geometry
cites work: Locally conformal Kähler structures in quaternionic geometry
cites work: Q4439486
cites work: The fundamental equations of a submersion
cites work: CR Submanifolds of a Kaehler Manifold. I
cites work: Submersions of CR submanifolds
cites work: Q4695610
cites work: Minimal varieties in Riemannian manifolds
cites work: Submersion of CR-submanifolds of locally conformal Kähler manifold
description: scientific article; zbMATH DE number 6123875