Results 71 to 80 of about 32,038 (159)
, 2006 This paper deals with results concerning the relative nullity foliation of the screen distribution of a lightlike Einstein hypersurface M in the Lorentzian space $R1n+2$ and gives a characterization theorem for the relative nullity spaces.
Antindogbe, Cyriaque +2 more
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On some methods of construction of invariant normalizations of lightlike hypersurfaces
, 2000 The authors study the geometry of lightlike hypersurfaces on pseudo-Riemannian manifolds (M,g) of Lorentzian signature. Such hypersurfaces are of interest in general relativity since they can be models of different types of physical horizons.
Maks A. Akivis +3 more
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Lightlike hypersurfaces of indefinite cosymplectic manifolds
International Mathematical Forum, 2007 We shall study lightlike hypersurfaces of indefinite cosymplectic manifolds and prove nonexistence of totally umbilical lightlike hypersurfaces of indefinite cosymplectic space forms ¯ M(c) with c .
Tae Ho Kang, Su Kwan Kim
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Embedding Galilean and Carrollian geometries. I. Gravitational waves
, 2020 International audienceThe aim of this series of papers is to generalize the ambient approach of Duval et al. regarding the embedding of Galilean and Carrollian geometries inside gravitational waves with parallel rays.
Morand, Kevin, Kevin Morand
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Wind Finslerian structures: from Zermelo\u27s navigation to the causality of spacetimes
, 2021 The notion of wind Finslerian structure is developed; this is a generalization of Finsler metrics where the indicatrices at the tangent spaces may not contain the zero vector.
Caponio, Erasmo +2 more
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Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection
, 2008 In this paper, we study lightlike hypersurfaces of a semi-Riemannian manifold admitting a semi-symmetric non-metric connection. We give the equations of Gauss and Codazzi.
Yücesan, Ahmet +2 more
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GEOMETRY OF LIGHTLIKE HYPERSURFACES OF AN INDEFINITE COSYMPLECTIC MANIFOLD
Communications of the Korean Mathematical Society, 2012 The author studies the geometry of light-like hypersurfaces \(M\) of an indefinite cosymplectic manifold \(\overline M\) such that either (1) the characteristic vector field \(\zeta\) of \(\overline M\) belongs to the screen distribution \(S\) of \(M\) or (2) \(\zeta\) belongs to the orthogonal complement \(S^{\perp}\) of \(S\) in \(T\overline M\).
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Special lightlike hypersurfaces of indefinite Kaehler manifolds
Filomat, 2016 In this paper, we define three types of lightlike hypersurfaces of an indefinite Kaehler manifold, which are called Hopf, recurrent and Lie recurrent lightlike hypersurfaces. After that we provide several new results on such three type lightlike hypersurfaces of an indefinite Kaehler manifold or an indefinite almost complex space form.
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Lightlike hypersurfaces in indefinite S-manifolds
, 2010 In a metric g.f.f-manifold we study lightlike hypersurfaces M tangent to the characteristic vector fields, and owing to the presence of the f-structure, we determine some decompositions of TM and of a chosen screen distribution obtaining two ...
BRUNETTI L, PASTORE, Anna Maria
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Newton transformations on null hypersurfaces [PDF]
, 2015 summary:Any rigged null hypersurface is provided with two shape operators: with respect to the rigging and the rigged vector fields respectively. The present paper deals with the Newton transformations built on both of them and establishes related ...
Fotsing, Cyriaque Atindogbé and Hans Tetsing
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