Results 61 to 70 of about 32,038 (159)
Lightlike Hypersurfaces of an Indefinite Para Sasakian Manifold
Adıyaman University Journal of Science, 2019 In this paper, we initiate the study of lightlike hypersurfaces of an indefinite almost paracontact metric manifold which are tangent to the structure vector field.
S. Perktaş, E. Kiliç, M. Tripathi
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Semi-parallel lightlike hypersurfaces of indefinite cosymplectic space forms
, 2011 We study the semiparallel lightlike hypersurface of an indefinite cosymplectic space forms which are tangent to the structure vector field.
Shankar Gupta, Abhitosh Upadhyay
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On the Geometry of Lightlike Hypersurfaces
, 2022 A dissertation submitted in fulfillment of a Masters degree at the University of the Witwatersrand, Johannesburg-South Africa, Johannesburg 2022The study of lightlike geometry in semi-Riemannian manifolds was introduced by A. Bejancu and K. L.
Khoza, Jabulile
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$A^\nabla$-tensors on lightlike hypersurfaces
, 2007 This paper introduces $\anabla$-tensors on lightlike hypersurfaces $M^{n+1}$ of signature $(0,n)$, $(n\geq 1)$ and investigates on their properties in connection with the null geometry of $M$. In particular, we show that there is an interplay between existence of $\anabla$-tensors of certain type and lightlike warped product structures.
Atindogbe, Cyriaque +1 more
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LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD
Communications of the Korean Mathematical Society, 2012 Summary: We study the geometry of real light-like hypersurfaces of an indefinite Kähler manifold \(\bar{M}\). We provide new results on such a real light-like hypersurface \(M\) by using the \(F\)-structure of \(M\) induced by the almost complex structure \(J\) of \(\bar{M}\).
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On the higher order mean curvatures of spacelike hypersurfaces in pp-wave spacetimes
, 2023 ct. We study some geometric aspects of the higher order mean curvatures (or, more simply, the so-called r-th mean curvatures) of a spacelike hypersurface immersed in a pp-wave spacetime, namely, in a connected Lorentzian manifold admitting a parallel ...
de Lacerda José H. H. +3 more
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Flat lightlike hypersurfaces in Lorentz–Minkowski 4-space
Journal of Geometry and Physics, 2009 The authors deal with the flat light-like hypersurfaces in Lorentz-Minkowski 4-spaces, with specific attention to the study of their singilarities in which a classification has been given. They prove that the generic singularities are the suspended cuspidal edge, the suspended swallowtail, the suspended cuspidal cross cap and the \(A_{4}\)-type ...
Izumiya, Shyuichi +2 more
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Einstein-Weyl structures on lightlike hypersurfaces
Open Mathematics, 2013 AbstractWe study Weyl structures on lightlike hypersurfaces endowed with a conformal structure of certain type and specific screen distribution: the Weyl screen structures. We investigate various differential geometric properties of Einstein-Weyl screen structures on lightlike hypersurfaces and show that, for ambient Lorentzian space ℝ1n+2 and a ...
Atindogbe, Cyriaque +2 more
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Lightlike Geometry of Leaves in Indefinite Kenmotsu Manifolds
Cubo, 2011 In this paper, we study some aspects of the geometry of leaves of integrable distributions of lightlike hypersurfaces in indefinite Kenmotsu manifolds, tangent to the structure vector field.
Fortuné Massamba
doaj
Lightlike hypersurfaces of a para-Sasakian space form
Gulf Journal of Mathematics, 2014 In this paper, lightlike hypersurfaces of a para-Sasakian space form are studied. We obtain some non-existence results for screen semi-invariant lightlike hypersurfaces of a para-Sasakian space form.
B. Acet, S. Perktaş, E. Kiliç
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