Second order parallel tensors on generalized Sasakian space forms and semi parallel hypersurfaces in Sasakian space forms
type: Item
instance of: scholarly article
title: Second order parallel tensors on generalized Sasakian space forms and semi parallel hypersurfaces in Sasakian space forms
zbMATH Open document ID: 1190.53039
author: F. Gherib
author: M. Belkhelfa
published in: Beiträge zur Algebra und Geometrie
publication date: 2010-02-09T00:00:00Z
full work available at URL: https://eudml.org/doc/227411
full work available at URL: 1.html
review text: It is proved that in a generalized Sasakian space form \(M(f_1,f_2, f_3)\) with \(f_1\neq f_2\), a second-order parallel symmetric tensor \(B\) is a constant multiple of the associated positive definite metric tensor. It is also proved that there are no semi-parallel hypersurfaces in a Sasakian space form \(M^{2n+1}(c)\), when \(c\neq 1\) and \(n\geq 2\).
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53D10
Mathematics Subject Classification ID: 53C21
zbMATH DE Number: 5668341
zbMATH Keywords: generalized Sasakian space form
zbMATH Keywords: parallel tensor
zbMATH Keywords: parallel second fundamental form
zbMATH Keywords: symmetric tensor
reviewed by: Mihail B. Banaru
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5668341