Açık Akademik Arşiv Sistemi

Browsing Makale Koleksiyonu by Author "Akyiğit, Mahmut"

Browsing Makale Koleksiyonu by Author "Akyiğit, Mahmut"

Sort by: Order: Results:

  • 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 ...
  • Fibonacci Generalized Quaternions 
    Akyiğit, Mahmut; Kösal, Hidayet Hüda; Tosun, Murat (SPRINGER BASEL AG, 2014)
    In this paper, the Fibonacci generalized quaternions are introduced. We use the well-known identities related to the Fibonacci and Lucas numbers to obtain the relations regarding these quaternions. Furthermore, the Fibonacci ...
  • 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 ...
  • ON NEW TYPES OF SETS VIA gamma-OPEN SETS IN BITOPOLOGICAL SPACES 
    Merve Ilkhan; Akyiğit, Mahmut; Emrah Evren Kara (ANKARA UNIV, FAC SCI, 2018)
    In this paper, the concept of (i,j)-gamma-P-open sets in bitopological spaces are introduced and characterizations of their related notions are given.
  • On the Consimilarity of Split Quaternions and Split Quaternion Matrices 
    Kösal, Hidayet Hüda; Akyiğit, Mahmut; Tosun, Murat (OVIDIUS UNIV PRESS, 2016)
    In this paper, we introduce the concept of consimilarity of split quaternions and split quaternion matrices. In this regard, we examine the solvability conditions and general solutions of the equations a (x) over tilde= ...
  • 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 ...
  • Siacci's Theorem According to Darboux Frame 
    Tosun, Murat; Akyiğit, Mahmut (OVIDIUS UNIV PRESS, 2017)
    The resolution of the acceleration vector of rigid body moving along a space curve is well known thanks to Siacci [1]. In this resolution,the acceleration vector is stated as the sum of two special oblique components in ...
  • Split Fibonacci Quaternions 
    Akyiğit, Mahmut; Tosun, Murat; Kösal, Hidayet Hüda (SPRINGER BASEL AG, 2013)
    Starting from ideas given by Horadam in [5] , in this paper, we will define the split Fibonacci quaternion, the split Lucas quaternion and the split generalized Fibonacci quaternion. We used the well-known identities related ...