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Hypersurfaces of lorentzian para-sasakian manifolds
- Source :
- Scopus-Elsevier
-
Abstract
- In this paper, we study the invariant and noninvariant hypersurfaces of (1,1,1) almost contact manifolds, Lorentzian almost paracontact manifolds and Lorentzian para-Sasakian manifolds, respectively. We show that a noninvariant hypersurface of an (1,1,1) almost contact manifold admits an almost product structure. We investigate hypersurfaces of affinely cosymplectic and normal (1,1,1) almost contact manifolds. It is proved that a noninvariant hypersurface of a Lorentzian almost paracontact manifold is an almost product metric manifold. Some necessary and sufficient conditions have been given for a noninvariant hypersurface of a Lorentzian para-Sasakian manifold to be locally product manifold. We establish a Lorentzian para-Sasakian structure for an invariant hypersurface of a Lorentzian para-Sasakian manifold. Finally we give some examples for invariant and noninvariant hypersurfaces of a Lorentzian para-Sasakian manifold.<br />Comment: 16 pages
- Subjects :
- Mathematics - Differential Geometry
Pure mathematics
Mathematics::Complex Variables
General Mathematics
Mathematical analysis
Invariant manifold
53C25, 53C42, 53C50
Causal structure
Causality conditions
Mathematics::Geometric Topology
Manifold
General Relativity and Quantum Cosmology
Hypersurface
Differential Geometry (math.DG)
FOS: Mathematics
Hermitian manifold
Mathematics::Differential Geometry
Invariant (mathematics)
Mathematics::Symplectic Geometry
Center manifold
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Scopus-Elsevier
- Accession number :
- edsair.doi.dedup.....4db85da82616cecbae07794e8dbed0f5