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Browsing Matematik / Mathematics by Author "Ersoy, Soley"

Browsing Matematik / Mathematics by Author "Ersoy, Soley"

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  • Ball and Burmester points in Lorentzian sphere kinematics 
    Abdullah Inalcik; 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, ...
  • Beltrami-Meusnier formulas of generalized semi ruled surfaces in semi Euclidean space 
    Akyiğit, Mahmut; Ersoy, Soley; Tosun, Murat (ACADEMIC PUBLICATION COUNCIL, 2014)
    In this paper, we study the sectional curvatures of the generalized semi ruled surfaces in semi Euclidean space E-v(n+1). The first fundamental form and the metric coefficients of the generalized semi ruled surfaces are ...
  • Bobillier Formula for One Parameter Motions in the Complex Plane 
    Ersoy, Soley (ASME-AMER SOC MECHANICAL ENG, 2012)
    This is a brief note expanding on the aspect of Fayet (2002, "Bobillier Formula as a Fundamental Law in Planar Motion," Z. Angew. Math. Mech., 82(3), pp. 207-210), which investigates the Bobillier formula by considering ...
  • Bobillier Formula for the Elliptical Harmonic Motion 
    Furkan Semih Dundar; Ersoy, Soley; Nuno T. Sa Pereira (OVIDIUS UNIV PRESS, 2018)
    In this study, we have considered the elliptical harmonic motion which is the superposition of two simple harmonic motions in perpendicular directions with the same angular frequency and phase difference of pi/2. It is ...
  • Dual Lorentzian spherical motions and dual Euler-Savary formula 
    Güngör, Mehmet Ali; Ersoy, Soley; Tosun, Murat (GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2009)
    In this paper, defining one-parameter dual Lorentzian motion in three-dimensional dual Lorentzian space D(1)(3) and we have obtained the relations between the absolute, relative and sliding velocities of these motions. In ...
  • Elliptical Harmonic Motion and Euler-Savary Formula 
    Nuno T. Sa Pereira; Ersoy, Soley (SPRINGER BASEL AG, 2016)
    In this paper, we have introduced elliptical harmonic motion in terms of elliptical numbers. In addition, we have found the relationships between the absolute, the relative and the sliding velocities and accelerations of ...
  • GENERALIZED SPACELIKE BERTRAND CURVES IN MINKOWSKI 5-SPACE R-1(5) 
    Ersoy, Soley (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 ...
  • Generalized Timelike Mannheim Curves in Minkowski Space-Time E-1(4) 
    Özgür, İbrahim; Akyiğit, Mahmut; Ersoy, Soley; Tosun, Murat (HINDAWI PUBLISHING CORPORATION, 2011)
    We give the definition of generalized timelike Mannheim curve in Minkowski space-time E-1(4). The necessary and sufficient conditions for the generalized timelike Mannheim curve are obtained. We show some characterizations ...
  • Lamarle formula in 3-dimensional Lorentz space 
    Ersoy, Soley; Tosun, Murat (UNIV OSIJEK, DEPT MATHEMATICS, 2011)
    The Lamarle Formula is known as a relationship between the Gaussian curvature and the distribution parameter (Drall) of a ruled surface in the surface theory, [12]. In R-1(3), the non-null ruled surfaces were investigated ...
  • On instantaneous invariants of hyperbolic planes 
    Abdullah Inalcik; Ersoy, Soley; Hellmuth Stachel (SAGE PUBLICATIONS LTD, 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 ...
  • One-Parameter Homothetic Motion in the Hyperbolic Plane and Euler-Savary Formula 
    Ersoy, Soley; Akyiğit, Mahmut (SPRINGER BASEL AG, 2011)
    In [10] one-parameter planar motion was first introduced and the relations between absolute, relative, sliding velocities (and accelerations) in the Euclidean plane E-2 were obtained. Moreover, the relations between the ...
  • Revisiting Burmester theory with complex forms of Bottema's instantaneous invariants 
    K. Eren; Ersoy, Soley (TAYLOR & FRANCIS LTD, 2017)
    The objective of this study is to take advantage of using the concept of complex numbers for instantaneous geometric properties of planar motion of rigid bodies. We consider that both the fixed and the moving planes are ...
  • SECTIONAL CURVATURE OF TIMELIKE RULED SURFACE PART I: LORENTZIAN BELTRAMI-EULER FORMULA 
    Ersoy, Soley; Tosun, Murat (SHIRAZ UNIV, 2010)
    In this paper, the Lorentzian version of Beltrami-Euler formula is investigated in R(1)(n). Initially, the first fundamental form and the metric coefficients of generalized timelike ruled surface are calculated and by the ...
  • STRONGLY k-SPACES 
    Ersoy, Soley; I. Ince; M. Bilgin (IRANIAN MATHEMATICAL SOC, 2017)
    In this paper, we introduce the notion of strongly k-spaces (with the weak (=finest) pre-topology generated by their strongly compact subsets). We characterize the strongly k-spaces and investigate the relationships between ...