Results 131 to 140 of about 32,038 (159)

Lightlike manifolds and Cartan geometries

Analysis and Mathematical Physics, 2020
Lightlike Cartan geometries are introduced as Cartan geometries modelled on the future lightlike cone in Lorentz-Minkowski spacetime. Then, we provide an approach to the study of lightlike manifolds from this point of view.
F. Palomo
semanticscholar   +1 more source

Real Lightlike Hypersurfaces of Paraquaternionic Kähler Manifolds

Mediterranean Journal of Mathematics, 2006
The main purpose of this paper is to give basic properties of real lightlike hypersurfaces of paraquaternionic manifold and to prove the nonexistence of real lightlike hypersurfaces in paraquaternionic space forms under some conditions.
MAZZOCCO, Renzo, IANUS S, VILCU G. E.
openaire   +2 more sources

Lightlike Hypersurfaces And Electromagnetism

1996
In this Chapter we apply some results of Chapters 4 and 7 to study a class of lightlike hypersurfaces M of 4-dimensional electromagnetic spacetimes. Section 8.1 deals with the needed basic information on Minkowski spacetime. In section 8.2, we study a class of invariant lightlike hypersurfaces having induced non-singular and singular electromagnetic ...
Krishan L. Duggal, Aurel Bejancu
openaire   +1 more source

Some Applications of Cauchy-Schwarz Inequality on Lightlike Warped Product Submanifolds

International Journal of Advanced Multidisciplinary Research and Studies
The well-known Cauchy-Schwarz inequality is a fundamental tool of analysis in Hilbert spaces. It is an upper bound on the inner product between two vectors in an inner product space in terms of the product of the vector norms.
Ndayirukiye Domitien, Karimumuryango Ménédore, Nibaruta Gilbert, Nshimirimana Pascaline   +3 more
semanticscholar   +1 more source

Lightlike Hypersurfaces and General Relativity

1996
Here we investigate some possible choices (Ricci flat, Einstein and pure radiation type) of the induced energy momentum tensor on a class of totally geodesic lightlike hypersurfaces M of 4-dimensional spacetime manifolds. We show that there does not exist any induced non-singular electromagnetic energy momentum tensor field and its singular type ...
Krishan L. Duggal, Aurel Bejancu
openaire   +1 more source

Chen inequalities on lightlike hypersurfaces of a GRW spacetime

International Journal of Geometric Methods in Modern Physics, 2021
In this paper, we introduce [Formula: see text]-Ricci curvature and [Formula: see text]-scalar curvature on lightlike hypersurfaces of a GRW spacetime. Using these curvatures, we establish some inequalities for lightlike hypersurfaces of a GRW spacetime. Using these inequalities, we obtain some characterizations on lightlike hypersurfaces.
openaire   +1 more source

Lightlike Hypersurfaces of Semi-Riemannian Manifolds

1996
Here we develop a theory on the differential geometry of a lightlike hypersurface M of a proper semi-Riemannian manifold \(\bar M\) For this purpose, we introduce a non-degenerate screen distribution and construct the corresponding lightlike transversal vector bundle tr(TM) of M, consistent with the well-known theory of Riemannian submanifolds.
Krishan L. Duggal, Aurel Bejancu
openaire   +1 more source

Lightlike real hypersurfaces of indefinite quaternion Kaehler manifold

Journal of Geometry, 2002
This paper deals with hypersurfaces of a quaternion Kähler manifold. As they are dealing with indefinite metrics, the question about the existence and properties of real light-like hypersurfaces \(M\) is especially interesting. Let me mention two of their results: In Theorem 3.4.
Ṣahin, Bayram, Güneṣ, Rifat
openaire   +1 more source

Gray Tensors on Lightlike Hypersurfaces

2009
 
ATİNDOGBE, Cyriaque, BERGERY, L. Berard, TOSSA, J.   +2 more
openaire   +1 more source

Lightlike Hypersurfaces of Lorentz Framed Manifolds

1996
In the previous Chapter 6, we studied a class of lightlike submanifolds of Kaehler manifolds which are necessarily even dimensional. In this chapter, we consider a more general ambient manifold, called framed manifold of even as well as odd dimension. The reader will soon know why we concentrate on Lorentz manifolds. In section 7.1, we brief the needed
Krishan L. Duggal, Aurel Bejancu
openaire   +1 more source