Results 1 to 10 of about 120 (109)
On Lightlike Geometry of Para-Sasakian Manifolds [PDF]
The Scientific World Journal, 2014 We study lightlike hypersurfaces of para-Sasakian manifolds tangent to the characteristic vector field. In particular, we define invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, respectively, and give examples ...
Bilal Eftal Acet +2 more
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Concurrent Vector Fields on Lightlike Hypersurfaces [PDF]
Mathematics, 2020 Concurrent vector fields lying on lightlike hypersurfaces of a Lorentzian manifold are investigated. Obtained results dealing with concurrent vector fields are discussed for totally umbilical lightlike hypersurfaces and totally geodesic lightlike ...
Erol Kılıç +2 more
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Lightlike Hypersurfaces of Meta-Golden Semi-Riemannian Manifolds
Mathematics, 2023 In this research, we embark on the examination of lightlike hypersurfaces within an almost meta-Golden semi-Riemannian manifold. We investigate the properties of the induced structure on a lightlike hypersurface by meta-Golden semi-Riemannian structure ...
Feyza Esra Erdogan +2 more
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Mathematics, 2022 In this study, some identities involving the Riemannian curvature invariants are presented on lightlike hypersurfaces of a statistical manifold in the Lorentzian settings. Several inequalities characterizing lightlike hypersurfaces are obtained.
Aliya Naaz Siddiqui +2 more
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Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces
Abstract and Applied Analysis, 2014 The lightlike hypersurfaces in semi-Euclidean space are of special interest in Relativity Theory. In particular, the singularities of these lightlike hypersurfaces provide good models for the study of different horizon types. And we obtain some geometrical propositions of the canal hypersurfaces of Lorentzian surfaces.
Sun, Jianguo, Pei, Donghe
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OSSERMAN LIGHTLIKE HYPERSURFACE CASES
Al-UlumIn this study, we constructed four examples of light-like hypersurfaces that satisfy the conditions of an Osserman manifold, based on the characterisation of light-like hypersurfaces of a pseudo-Riemannian manifold of dimension m+2.
Paulin Shakwanda Mulebu +4 more
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Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms [PDF]
Journal of Applied Mathematics, 2015 We study lightlike hypersurfacesMof an indefinite generalized Sasakian space formM-(f1,f2,f3), with indefinite trans-Sasakian structure of type(α,β), subject to the condition that the structure vector field ofM-is tangent toM. First we study the general theory for lightlike hypersurfaces of indefinite trans-Sasakian manifold of type(α,β). Next we prove
Dae Ho Jin, Dimitris Fotakis
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Foliations of lightlike hypersurfaces and their physical interpretation
Open Mathematics, 2012 Abstract This paper deals with a family of lightlike (null) hypersurfaces (H u) of a Lorentzian manifold M such that each null normal vector ℓ of H u is not entirely in H u, but, is defined in some open subset of M around H u.
Duggal Krishan
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ASCREEN LIGHTLIKE HYPERSURFACES OF AN INDEFINITE SASAKIAN MANIFOLD
The Pure and Applied Mathematics, 2013 Summary: We study light-like hypersurfaces of an indefinite Sasakian manifold \(\overline M\). First, we construct a type of light-like hypersurface according to the form of the structure vector field of \(\overline M\), named ascreen light-like hypersurfaces. Next, we characterize the geometry of such ascreen light-like hypersurfaces.
Jin Dae Ho
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On the Geometry of the Null Tangent Bundle of a Pseudo-Riemannian Manifold
Axioms, 2023 When we consider a non-definite pseudo-Riemannian manifold, we obtain lightlike tangent vectors that constitute the null tangent bundle, whose fibers are lightlike cones in the corresponding tangent spaces.
Mohamed Tahar Kadaoui Abbassi +2 more
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