Kurum Yazarı "İnalcık, Abdullah" Matematik ve Fen Bilimleri Eğitimi Bölümü Koleksiyonu İçin Listeleme
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Ball and Burmester points in Lorentzian sphere kinematics
İnalcık, Abdullah; Ersoy, Soley (Academic Publication Council, 2015)In this work, we study Lorentzian spherical motion of rigid bodies by using instantaneous invariants and define Lorentzian inflection curve, Lorentzian circling points curve and Lorentzian cubic of twice stationary curve, ... -
Generalized spacelike bertrand curves in minkowski 5-space R-1(5)
Ersoy, Soley; İnalcık, Abdullah (Natl Inquiry Services Centre Pty Ltd, 2014)In this paper, we give the definition of the generalization of spacelike Bertrand curves and obtain the characterization of these curves in Minkowski 5-space R-1(5). Moreover, we define three types special spacelike Bertrand ... -
Non-null helicoidal surfaces as non-null bonnet surfaces
İnalcık, Abdullah; Ersoy, Soley (Math Soc Serbia-Drustvo Matematicara Srbije, 2016)In this study, we obtain an equivalent of the Codazzi-Mainardi equations for spacelike and timelike surfaces in three dimensional Lorentz space R3 1 . Also, we find necessary and sufficient conditions for spacelike and ... -
On instantaneous invariants of hyperbolic planes
İnalcık, Abdullah; Ersoy, Soley; Stachel, Hellmuth (Sage Publications, 2017)In this study, we consider the kinematics of the hyperbolic plane and define the notions of inflection curve, circling-point curve, cubic of twice stationary curvature curve, and cubic of thrice stationary curve. We also ... -
Similarity and semi-similarity relations on the degenerate quaternions, pseudodegenerate quaternions and doubly degenerate quaternions
İnalcık, Abdullah (Springer Basel Ag, 2017)In this paper, we establish the concept of similarity and semi-similarity for elements of set of degenerate quaternions, pseudodegenerate quaternions and doubly degenerate quaternions by solving and , respectively.