Submersions of CR-submanifolds of a Kaehler manifold
type: Item
instance of: scholarly article
title: Submersions of CR-submanifolds of a Kaehler manifold
zbMATH Open document ID: 0664.53024
author: Sharief Deshmukh
author: Shahid Ali
author: S. I. Husain
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1988-01-01T00:00:00Z
review text: Let \(\pi\) : \(M\to B\) be a submersion of a CR-submanifold M of a Kaehler manifold \(\bar M\) onto an almost Hermitian manifold B. If \(\pi\) satisfies some natural conditions, \textit{S. Kobayashi} [Tohoku Math. J., II. Ser. 39, 95-100 (1987; Zbl 0619.58004)] proved that the base manifold B is Kähler. In this article the authors study various relations between M and its base manifold B when M is assumed to be a CR-product, mixed- foliated, or totally umbilical.
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 4086465
zbMATH Keywords: submersion
zbMATH Keywords: CR-submanifold
zbMATH Keywords: Kaehler manifold
zbMATH Keywords: CR-product
zbMATH Keywords: totally umbilical
reviewed by: Bang-Yen Chen
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4086465