CR-submanifolds of a trans-Sasakian manifold. II
type: Item
instance of: scholarly article
title: CR-submanifolds of a trans-Sasakian manifold. II
zbMATH Open document ID: 0833.53044
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1996-03-11T00:00:00Z
review text: [For a review of the first part, see: ibid. 22, No. 12, 1007-1012 (1991; Zbl 0767.53036.)] In the present paper the author studies CR-submanifolds of a trans- Sasakian manifold (which generalizes both \(\alpha\)-Sasakian and \(\beta\)- Kenmotsu structures). For the leaves of involutive distributions on the CR-submanifold \(M\) of a trans-Sasakian manifold \(\overline {M}\), the author gives necessary and sufficient conditions for their immersions in \(M\) to be totally geodesic.
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 567153
zbMATH Keywords: trans-Sasakian manifold
zbMATH Keywords: involutive distributions
zbMATH Keywords: CR-submanifold
author: Mohammad Hasan Shahid
reviewed by: Neculai Papaghiuc
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 567153