Browsing Makale Koleksiyonu by Author "Tulay Erisir"

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A CONSTRUCTION OF HYPERBOLIC SPINORS ACCORDING TO FRENET FRAME IN MINKOWSKI SPACE

Zeynep Ketenci; Tulay Erisir; Güngör, Mehmet Ali (TAYLOR & FRANCIS LTD, 2015)

In this paper, spinors which consists of two hyperbolic components are introduced and hyperbolic spinor representation of the curve (spacelike or timelike) in Minkowski space is expressed. Then, the fundamental theorem of ...
A New Generalization of the Steiner Formula and the Holditch Theorem

Tulay Erisir; Güngör, Mehmet Ali; Tosun, Murat (SPRINGER BASEL AG, 2016)

In this study, we first obtained the Steiner area formula in the generalized complex plane. Then, with the aid of this formula, we determined a new approach for the Holditch theorem giving the relationship between the areas ...
The Holditch-Type Theorem for the Polar Moment of Inertia of the Orbit Curve in the Generalized Complex Plane

Tulay Erisir; Güngör, Mehmet Ali; Tosun, Murat (SPRINGER BASEL AG, 2016)

In this study, we first calculate the polar moment of inertia of orbit curves under one-parameter planar motion in the generalized complex plane and then give the Holditch-type theorem for : When the fixed points and on ...