# H. Bayram KaradagInonu University · Department of Mathematics

H. Bayram Karadag

PhD

## About

39

Publications

2,149

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133

Citations

Citations since 2016

Introduction

**Skills and Expertise**

## Publications

Publications (39)

In this study, the parametric equation of hypersurfaces passing through the spacelike and timelike curves that has non-null Frenet vectors in E_1^4 Lorentz Minkowski space was expressed with the help of this curve is Frenet frame. Furthermore, hypersurface families were created by giving necessary and sufficient conditions so that the spacelike and...

In this paper, we construct the twisted surfaces according to the supporting plane and type of rotations in pseudo-Galilean space G13. Also, we find the Gaussian curvatures and mean curvatures of the different types of these twisted surfaces and draw some figures for these twisted surfaces.

In this paper we obtain a condition for the tangent bundle (T M;Jg) to be locally decomposable Golden Riemannian tangent bundle, where J is the Golden structure on T M and g is the Cheeger-Gromoll metric.

In this paper, we define the almost paracontact metric structure on a tangent bundle TM with Cheeger–Gromoll (C–G) metric and obtain the normality condition for it. We define the paracontact C–G metric tangent bundle, K-paracontact C–G metric tangent bundle and C–G para-Sasakian tangent bundle and give some characterizations about them. Also, we gi...

In this paper, we study the almost paracontact, almost paracontact metric, paracontact metric, K-paracontact and para-Sasakian Finsler structures on vector bundles and give some characterizations for these geometric structures. Also, the curvature of a paracontact Finsler manifold is given and some results for Ricci semi-symmetric para-Sasakian Fin...

In this paper, we present a method to be developable of a ruled surface, generated in Minkowski 3-space ℝ31, corresponding to the dual Lorentzian curves according to E. Study's transference principle and some theorems and examples.

In this paper, we investigate the surfaces of revolution under the condition Γ^1_{11}(𝐺) = 𝑘(𝐺 + 𝐶), where Γ^1_{11} is one of the Christoffel-like operators, 𝐺 is the Gauss map of the surface, 𝑘 is a non-constant function and 𝐶 is a constant vector in Minkowski 3-space.

In this study, the surfaces of revolution whose axes of revolution are space-like and time-like are classified under the condition Γ ˜ 11 1 Ψ i =λ i Ψ i , λ i ∈ℝ, (i = 1,2,3), where Γ ˜ 11 1 is one of the Christoffel-like operators with non-degenerate metric in the 3-dimensional Lorentz-Minkowski space.

In this paper, the area vector of a closed space curve and the Steineer vector of a motion are extensively studied by the methods of differen-tial geometry. A new ruled surface whose ruling is the area vector of a closed space curve formed during a closed spatial motion is expressed. By investigating the characterizations of this ruled surface, som...

We study special null curves on the ruled surfaces in Minkowski 3-space. We give some results related to ruled surfaces of a null curve which is called osculating developable and screen ruled surface.

We define a new curve in Lorentzian space which we call null (light-like) slant helix. We give some characterization of null slant helices in Minkowski 3-space ℝ 1 3 and provide examples which illustrate the results and we also show that there exist no null slant helix in ℝ 1 4 .

The geometry of invariant submanifolds of a Sasakian manifold is studied. Necessary and sufficient conditions are given for a submanifold of a Sasakian manifold to be invariant and the invariant case is considered. In this case, we investigate further properties of invariant submanifolds of a Sasakian manifold.

We introduce the light-like ruled surfaces in semi-Euclidean space ℝ 1 4 and classify them. It is also shown that their induced connection is a metric connection. Furthermore, we give the conditions of becoming a striction line of the base.

In this paper, we introduce the lightlike ruled surfaces in semi- Euclidean space R41 and classify the lightlike ruled surfaces in R41. It is also investigated that their induced connection is a metric connection. Furthermore, we give the conditions of becoming striction line of base (directrix) curve.

In this paper, the dual area vector of a closed dual spherical curve is kinematically generated and the dual Steineer vector of a motion are extensively studied by the methods of differential geometry. Jacobi's Theorems, known for real curves, are investigated for closed dual curves. The closed trajectory surfaces generated by an oriented line are...

In this paper, the projection areas and the area vectors of closed spherical curves formed under a one-parameter closed spherical motion are discussed. The relation between the Steiner vector of the one-parameter closed spherical motion and the area vector of the closed spherical curve formed under the motion are given. The parallel projection area...

The authors study the problem of calculating the parallel projection area of a closed spatial curve formed under the motion B(c 1 ) defined along the closed spherical curve c 1 and generalize the Holditch theorem and its corollaries to closed spatial curves.