Browsing by Author "Turanli, Sibel"

Now showing 1 - 8 of 8

Curvature Properties of Anti-Kahler Manifolds
(Elsevier France-Éditions Scientifiques Médicales Elsevier, 2013) Salimov, Arif; Turanli, Sibel
In this paper we shall consider a new class of integrable almost anti-Hermitian manifolds, which will be called anti-Kahler-Codazzi manifolds, and we will investigate their curvature properties. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
Metallic Kähler and Nearly Metallic Kähler Manifolds
(World Scientific Publishing Co Pte Ltd, 2021) Turanli, Sibel; Gezer, Aydin; Cakicioglu, Hasan
In this paper, we construct metallic Kahler and nearly metallic Kahler structures on Riemannian manifolds. For such manifolds with these structures, we study curvature properties. Also, we describe linear connections on the manifold which preserve the associated fundamental 2-form and satisfy some additional conditions and present some results concerning them.
On 4-Dimensional Almost Para-Complex Pure-Walker Manifolds
(TÜBİTAK Scientific & Technological Research Council Turkey, 2014) Iscan, Murat; Sarsilmaz, Hilmi; Turanli, Sibel
This paper is concerned with almost para-complex structures on Walker 4-manifolds. For these structures, we study some problems of Kahler manifolds. We also give an example of a flat almost para-complex manifold, which consists of a nonintegrable almost para-complex structure on Walker 4-manifolds.
On an Isotropic Property of Anti-Kahler Manifolds
(Elsevier France-Éditions Scientifiques Médicales Elsevier, 2013) Salimov, Arif; Akbulut, Kursat; Turanli, Sibel
We give a proof of the fact that an anti-Kahler-Codazzi manifold reduces to an isotropic anti-Kahler manifold if and only if the Ricci tensor field coincides with the Ricci* tensor field. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
On Codazzi Couplings on the Metric (E4 = I)-Manifolds
(MDPI, 2022) Turanli, Sibel; Gezer, Aydin
Let M-k be a metric (E-4 = I) - manifold equipped with electromagnetic-type structure E, a pseudo-Riemannian metric g and a nondegenerate 2-form (omega) over cap. The paper deals with Codazzi couplings of an affine connection del with E, g and (omega) over cap. We present some results concerning the relationship of these Codazzi couplings. In addition, we construct the connection between Codazzi couplings and e - ( E-4 = I) Kaehler manifolds.
On Kähler-Norden Golden Structures on Pseudo-Riemannian Manifolds
(World Scientific Publ Co Pte Ltd, 2018) Bilen, Lokman; Turanli, Sibel; Gezer, Aydin
In this paper, we consider a pseudo-Riemannian manifold equipped with a Kahler-Norden-Codazzi golden structure. For such a manifold, we study curvature properties. Also, we define special connections of the first type and of the second type on the manifold, which preserve the associated twin Norden golden metric and satisfy some special conditions and present some results concerning them.
On Nearly Parakahler Manifolds
(Korean Mathematical Society, 2018) Gezer, Aydin; Turanli, Sibel
The purpose of the present paper is to study on nearly para-Kahler manifolds. Firstly, to investigate some properties of the Ricci tensor and the Ricci* tensor of nearly paraKahler manifolds. Secondly, to define a special metric connection with torsion on nearly paraKahler manifolds and present its some properties.
On Walker 4-Manifolds with Pseudo Bi-Hermitian Structures
(TÜBİTAK Scientific & Technological Research Council Turkey, 2019) Turanli, Sibel
(M-2n, g(w), D) is a 4-dimensional Walker manifold and this triple is also a pseudo-Riemannian manifold (M-2n, g(w)) of signature (+ + - -) (or neutral), which is admitted a field of null 2-plane. In this paper, we consider bi-Hermitian structures (phi(1), phi(2)) on 4-dimensional Walker manifolds. We discuss when these structures are integrable and when the bi-Kahler forms are symplectic.