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On the Trajectory Null Scrolls in 3-Dimensional Minkowski Space-Time E<sub>1</sub><sup>3</sup>
Ersoy, Soley,Tosun, Murat Department of Mathematics 2008 Kyungpook mathematical journal Vol.48 No.1
In this paper, the trajectory scroll in 3-dimensional Minkowski space-time $E_1^3$ is given by a firmly connected oriented line moving with Cartan frame along curve. Some theorems and results between curvatures of base curve and distribution parameter of this surface are obtained. Moreover, some theorems and results related to being developable and minimal of this surface are given. And also, some relationships among geodesic curvature, geodesic torsion and the curvatures of base curve of trajectory scroll are found.
CARDAN POSITIONS IN THE LORENTZIAN PLANE
Eren, Kemal,Ersoy, Soley The Honam Mathematical Society 2018 호남수학학술지 Vol.40 No.1
In this paper, we study the instantaneous geometric properties of motion of rigid bodies in the Lorentzian plane. For this purpose we define Lorentzian form of Bottemas instantaneous invariants. In these regards, we obtain the necessary and sufficient condition of a Lorentzian plane to be at Cardan position with respect to these invariants.
CARDAN POSITIONS IN THE LORENTZIAN PLANE
( Kemal Eren ),( Soley Ersoy ) 호남수학회 2018 호남수학학술지 Vol.40 No.1
In this paper, we study the instantaneous geometric properties of motion of rigid bodies in the Lorentzian plane. For this purpose we define Lorentzian form of Bottemas instantaneous invariants. In these regards, we obtain the necessary and sufficient condition of a Lorentzian plane to be at Cardan position with re-spect to these invariants.
ON SEQUENTIAL TOPOLOGICAL GROUPS
İBRAHIM İNCE,Soley Ersoy 한국수학교육학회 2018 純粹 및 應用數學 Vol.25 No.4
In this paper, we study the sequentially open and closed subsets of sequential topological groups determined by sequentially continuous group homo-morphism. In particular, we investigate the sequentially openness (closedness) and sequentially compactness of subsets of sequential topological groups by the aid of sequentially continuity, sequentially interior or closure operators. Moreover, we explore subgroup and sequential quotient group of a sequential topological group.