arXiv subjects

Bilal Eftal Acet

Publications and source records attributed to Bilal Eftal Acet.

5 recordsLinked to original sources

arXiv2018

Lightlike Submanifolds of Metallic Semi-Riemannian Manifolds

Our aim in this paper is to investigate some types of lightlike submanifolds in metallic semi-Riemannian manifolds. We study invariant and screen semi-invariant lightlike submanifolds of metallic semi-Riemannian manifolds and give examples. We obtain the conditions for the induced connection to be a metric connection. Also, we find necessary and sufficient conditions for the distributions involved in the definitions of such submanifolds to be integrable.

math.GM↗

arXiv2018

Screen Transversal Lightlike Submanifolds of Golden Semi-Riemannian Manifolds

The main purpose of the present paper is to study the geometry of screen transversal lightlike submanifolds and radical screen transversal lightlike submanifolds and screen transversal anti-invariant lightlike submanifolds of Golden Semi-Riemannian manifolds. We investigate the geometry of distributions and obtain necessary and sufficient conditions for the induced connection on these manifolds to be metric connection. We also obtain characterization of screen transversal anti-invariant lightlike submanifolds of Golden Semi- Riemannian manifolds. Finally, we give two examples.

math.DG↗

arXiv2018

Bi-$f$-harmonic curves and hypersurfaces

In the present paper, we study bi-$f$-harmonic maps which generalize not only $f$-harmonic maps, but also biharmonic maps. We derive bi-$f$-harmonic equations for curves in the Euclidean space, unit sphere, hyperbolic space, and in hypersurfaces of Riemannian manifolds.

math.DG↗

arXiv2018

Lightlike Hypersurfaces of Metallic Semi-Riemannian Manifolds

In our article, 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. We also define screen semi-invariant lightlike hypersurfaces, investigate integrability conditions for the distributions and give some examples.

math.DG↗

arXiv2017

$η$-Ricci solitons in $(\varepsilon)$-almost paracontact metric manifolds

The object of this paper is to study $η$-Ricci solitons on $(\varepsilon)$-almost paracontact metric manifolds. We investigate $η$-Ricci solitons in the case when its potential vector field is exactly the characteristic vector field $ξ$ of the $(\varepsilon)$-almost paracontact metric manifold and when the potential vector field is torse-forming. We also study Einstein-like and $(\varepsilon)$-para Sasakian manifolds admitting $η$-Ricci solitons. Finally we obtain some results for $η$-Ricci solitons on $(\varepsilon)$-almost paracontact metric manifolds with a special view towards parallel symmetric (0,2)-tensor fields.

math.DG↗