CR-submanifolds of a locally conformal Kaehler space form
type: Item
instance of: scholarly article
title: CR-submanifolds of a locally conformal Kaehler space form
zbMATH Open document ID: 0812.53017
DOI: 10.1155/S016117129400075X
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1994-10-09T00:00:00Z
full work available at URL: https://eudml.org/doc/47144
review text: Summary: The purpose of this paper is to continue the study of CR-submanifolds [\textit{A. Bejancu}, Proc. Am. Math. Soc. 69, 135-142 (1978; Zbl 0376.53034) and Trans. Am. Math. Soc. 250, 333-345 (1979; Zbl 0401.53017)] and in particular of those of a locally conformal Kähler space form [\textit{K. Matsumoto}, J. Korean Math. Soc. 21, 49-61 (1984; Zbl 0554.53039)]. Some results on the holomorphic sectional curvature, \(D\)- totally geodesic, \(D^ 1\)-totally geodesic and \(D^ 1\)-minimal CR- submanifolds of locally conformal Kaehler (l.c.k.)-space from \(\overline{M}(c)\) are obtained. We have also discussed the Ricci curvature as well as the scalar curvature of CR-submanifolds of \(\overline{M}(c)\).
Mathematics Subject Classification ID: 53B25
Mathematics Subject Classification ID: 53B35
zbMATH DE Number: 650823
zbMATH Keywords: minimal
zbMATH Keywords: totally geodesic
zbMATH Keywords: CR-submanifolds
zbMATH Keywords: locally conformal Kähler space
zbMATH Keywords: Kaehler
author: Mohammad Hasan Shahid
MaRDI profile type: Publication
OpenAlex ID: W2144690965
Recommended article: Q3788659
Recommended article: ON CR SUBMANIFOLDS OF LOCALLY CONFORMAI KAEHLER MANIFOLDS
Recommended article: CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions
Recommended article: Q3217224
Recommended article: Q4709755
Recommended article: Q3784759
Recommended article: Submersion of CR-submanifolds of locally conformal Kähler manifold
Recommended article: Certain submanifolds in a locally conformal Kaehler manifold
Recommended article: Cauchy-Riemann submanifolds of locally conformal Kähler manifolds
Recommended article: Q3739830
description: scientific article; zbMATH DE number 650823