Results 11 to 20 of about 32,038 (159)

Singularity Analysis of Lightlike Hypersurfaces Generated by Null Cartan Curves in Minkowski Spacetime

Axioms
This study investigates the singularity structures of lightlike hypersurfaces generated by null Cartan curves in Minkowski spacetime. We construct a hierarchical geometric framework consisting of a lightlike hypersurface LHβ, a critical lightlike surface
Xiaoming Fan, Yongsheng Zhu, Haijing Pan
doaj   +3 more sources

Chen-like inequalities on lightlike hypersurface of a Lorentzian product manifold with quarter-symmetric non-metric connection

, 2016
In this paper, we introduce k-Ricci curvature and k-scalar curvature on lightlike hypersurface of a Lorentzian product manifold with quarter-symmetric nonmetric connection.
Ö. Nergiz, Erol Yaşar
semanticscholar   +3 more sources

Geometry of Lightlike Hypersurfaces of a Statistical Manifold [PDF]

WSEAS TRANSACTIONS ON MATHEMATICS, 2023
In this paper, we introduced the lightlike hypersurfaces of a statistical manifold. It is shown that a lightlike hypersurface of a statistical manifold is not a statistical manifold with respect to the induced connections, but the screen distribution has a canonical statistical structure. Some relations between induced geometric objects with respect to
Bahadir, Oguzhan, Tripathi, Mukut Mani
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Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature [PDF]

Communications in Mathematics, 2019
We study lightlike hypersurfaces M of an indefinite Kaehler manifold M̅ of quasi-constant curvature subject to the condition that the characteristic vector field ζ of M̅ is tangent to M.
D. Jin, Jae Won Lee
semanticscholar   +2 more sources

Totally Contact Umbilical Lightlike Hypersurfaces of Indefinite -Manifolds [PDF]

Journal of Mathematics, 2013
We study totally contact umbilical lightlike hypersurfaces of indefinite -manifolds and prove the nonexistence of totally contact umbilical lightlike hypersurface in indefinite -space form.
Rachna Rani, Rakesh Kumar, R. K. Nagaich
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Chen Inequalities on Lightlike Hypersurface of a Lorentzian Manifold with Semi-Symmetric Metric Connection

, 2017
In this paper, we introduce k-Ricci curvature and k-scalar curvature on lightlike hypersurface of a Lorentzian manifold with semi-symmetric metric connection.
N. Poyraz, Burçin Doğan, Erol Yaşar
semanticscholar   +2 more sources

Lightlike singular hypersurfaces in quadratic gravity [PDF]

International Journal of Modern Physics D, 2022
Using the principle of least action, the motion equations for a singular hypersurface of arbitrary type in quadratic gravity are derived. Equations containing the “external pressure” and the “external flow” components of the surface energy–momentum tensor together with the Lichnerowicz conditions serve to find the hypersurface itself, while the ...
Victor A. Berezin, Inna D. Ivanova
openaire   +3 more sources

Lightlike hypersurfaces of metallic semi-Riemannian manifolds [PDF]

International Journal of Geometric Methods in Modern Physics, 2018
In our paper, we introduce and study lightlike hypersurfaces of a metallic semi-Riemannian manifold. We examine some geometric properties of invariant lightlike hypersurfaces. We show that the induced structure on an invariant lightlike hypersurface is also metallic.
B. Acet
openaire   +4 more sources

Pseudoinversion of degenerate metrics [PDF]

International Journal of Mathematics and Mathematical Sciences, 2003
Let (M,g) be a smooth manifold M endowed with a metric g. A large class of differential operators in differential geometry is intrinsically defined by means of the dual metric g∗ on the dual bundle TM∗ of 1-forms on M.
C. Atindogbe, J.-P. Ezin, Joël Tossa
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Geometry of Lightlike Hypersurfaces in a Class of Almost (α, p)-Metallic Semi-Riemannian Manifold

Axioms
The aim of this paper is to investigate the geometry of lightlike hypersurfaces in an (α,p)-silver semi-Riemannian manifold. Our work analyzes the behavior of the structures induced on a lightlike hypersurface by the (α,p)-silver semi-Riemannian ...
Rajinder Kaur, Vandana Gupta, Jasleen Kaur, Ibrahim Al-Dayel   +3 more
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