Symmetries of null geometry in indefinite Kenmotsu manifolds
type: Item
instance of: scholarly article
title: Symmetries of null geometry in indefinite Kenmotsu manifolds
zbMATH Open document ID: 1281.53056
author: Fortuné Massamba
published in: Mediterranean Journal of Mathematics
publication date: 2013-05-17T00:00:00Z
review text: The author investigates some symmetries of null hypersurfaces in indefinite Kenmotsu manifolds tangent to the structure vector field, by particularly paying attention to the local symmetry, semi-symmetry and Ricci semi-symmetry, as well as their relationships with induced connections studied. He shows that locally symmetric and semi-symmetric null hypersurfaces are totally geodesic and parallel. This is also true for Ricci semi-symmetric null hypersurfaces under certain conditions. The local symmetry, semi-symmetry and Ricci semi-symmetry notions are equivalent for a null Einstein hypersurface. By defining an \(\eta\)-Weyl connection the author shows that an induced connection cannot be an \(\eta\)-Weyl connection.
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 6164350
zbMATH Keywords: indefinite Kenmostu manifold
zbMATH Keywords: null hypersurface
zbMATH Keywords: locally symmetric null hypersurface
zbMATH Keywords: semi-symmetric null hypersurface
zbMATH Keywords: Ricci semi-symmetric null hypersurface
zbMATH Keywords: \(\eta\)-conformal connection
reviewed by: Stefka Hineva
MaRDI profile type: Publication
full work available at URL: s00009-012-0205-5
OpenAlex ID: W1971762146
Wikidata QID: Q125937077
cites work: Q3956048
cites work: Curvature of indefinite almost contact manifolds
cites work: Q4504988
cites work: P.J. Ryan's problem in semi-Riemannian space forms
cites work: Q4874385
cites work: Q3645291
cites work: Q4456166
cites work: Einstein-Weyl structures on compact conformal manifolds
cites work: A class of almost contact Riemannian manifolds
cites work: Q4113054
cites work: Q4881600
cites work: Q3172387
cites work: Totally contact umbilical light-like hypersurfaces of indefinite Sasakian manifolds
cites work: On semi-parallel lightlike hypersurfaces of indefinite Kenmotsu manifolds
cites work: On lightlike geometry in indefinite Kenmotsu manifolds
cites work: Lightlike Geometry of Leaves in Indefinite Kenmotsu Manifolds
cites work: Q5178298
cites work: Geometry of semi-Weyl manifolds and Weyl manifolds
cites work: A class of complex hypersurfaces
cites work: Q5426813
cites work: Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
DOI: 10.1007/S00009-012-0205-5
description: scientific article; zbMATH DE number 6164350