• Ulisse dini-type helicoidal hypersurface 4-space 

      Güler, Erhan; Gümüşok Karaalp, Ayçın (Ordu Üniversitesi, 2018)
      We considerUlisse Dini-type helicoidal hypersurface in Euclidean 4-space E4.We give some basic notions of the fourdimensional Euclidean geometry in section 2.In section 3, we consider Ulisse Dini helicoidal hypersurface.We ...
    • Torus hypersurface in 4-space 

      Güler, Erhan; Kişi, Ömer (Ahi Evran Üniversitesi, 2018)
      We consider torus hypersurface in the four dimensional Euclideanspace E4. We give some basic notions of E4, then we define rotational hypersur-face. Finally, we define torus hypersurface, and calculate its curvatures with ...
    • Ulisse dini-type helicoidal surface in 3-space 

      Güler, Erhan; Gümüşok Karaalp, Ayçın (Ordu Üniversitesi, 2018)
      In this talk, we study Ulisse Dini-type helicoidal surface in Euclidean 3-space E³. We give some basic notions of the three dimensional Euclidean geometry in section 2. In section 3, we consider Ulisse Dini helicoidal ...
    • Cheng-yau operator and gauss map of rotational hypersurfaces in the four dimensional euclidean space 

      Güler, Erhan; Turgay, Nurettin Cenk (Manisa Celal Bayar University, 2018)
      We consider rotational hypersurface in the four dimensional Euclidean space 4E. We study the Gauss map G of rotational hypersurface in 4E with respect to the so-called Cheng-Yau operator 1L acting on the functions ...
    • Möbius-type hypersurface in 4-space 

      Güler, Erhan; Hacısalihoğlu, Hasan Hilmi (Manisa Celal Bayar University, 2018)
      Möbius-type hypersurface in the four dimensional Euclidean space is defined. Equations for the Gaussian and mean curvature are derived and some examples of hypersurface are given.
    • Rotational hypersurfaces in E6 

      Güler, Erhan; Kişi, Ömer (Mersin Üniversitesi, 2018)
    • A numerical investigation of VMS-POD model for darcy-brinkman equations 

      G. Eroglu, Fatma; Kaya, Songul; Rebholz, Leo (Proceedings of the World Congress on Engineering, 2018)
      We extend the variational multiscale proper orthogonal decomposition reduced order modeling (VMSPOD) to flows governed by double diffusive convection. We present stability and convergence analysis for it, and give results ...
    • A generalized statistical convergence via ideals defined by folner sequences on amenable groups 

      Kişi, Ömer; Güler, Erhan (4th International Conference on Analysis and Its Applications (ICAA-2018), 2018-09-14)
    • Lacunary I₂-invariant convergence of double sequences in random 2-normed spaces 

      Kişi, Ömer; Güler, Erhan (Proceedings of The International Conference on Mathematical Studies and Applications, 2018-10-04)
      In this study, we introduce the concept of lacunary I2-invariant convergence, lacunary I*2 -invariant convergence and lacunary I2-invariant Cauchy for double sequences in the topology introduced by random 2-normed spaces. ...
    • Lacunary I₂-invariant convergence of double sequences of functions on amenable semigroups 

      Kişi, Ömer; Güler, Erhan (Karamanoğlu Mehmetbey Üniversitesi, 2018-10-04)
      In this study, we introduce the concept of lacunary I2-invariant convergence, lacunary I∗2-invariant convergence and lacunary I2-invariant Cauchy for double sequences in the topology introduced by random 2-normed spaces. ...
    • Astrohelicoidal hypersurfaces in 4-space 

      Güler, Erhan; Kişi, Ömer (International Conference on Mathematics and Mathematics Education, 2019)
      We consider an astrohelicoidal hypersurface which its profile curve has astroid curve in the four dimensional Euclidean space E4. We also calculate Gaussian curvature and the mean curvature, and Weingarten relation of the ...
    • Helicoidal surface of logaritmic spiral type in 3-space 

      Güler, Erhan; Kişi, Ömer (International Conference on Computational Mathematics and Engineering Sciences, 2019)
      In this paper, we study the logaritmic spiral-type helicoidal surface in Euclidean 3-space. We obtain logaritmic spiral-type helicoidal surface with some figures, and calculate its curvatures.
    • One sided Henry Smith surface 

      Güler, Erhan; Kişi, Ömer (International Conference on Computational Mathematics and Engineering Sciences, 2019)
      We focus differential geometry of the Henry Smith surface in the three dimensional Euclidean space. We calculate the Gaussian and the mean curvatures of the surface, drawing its figure. In addition, we find algebraic ...
    • Astrohelicoidal surfaces 

      Güler, Erhan; Kişi, Ömer (International Conference on Mathematics and Mathematics Education, 2019)
      We construct an astrohelicoidal surface which its profile curve has astroid curve in the three dimensional Euclidean space E3. We also find Gaussian curvature and the mean curvature, and Weingarten relation of the surface ...
    • Fibonacci statistical convergence of double sequences and Korovkin type approximation theorems 

      Kişi, Ömer; Ünal, Hatice Kübra (8th International Conference on Applied Analysis and Mathematical Modelling (ICAAMM19), 2019-03-10)
    • Lacunary statistical convergence of complex uncertain sequence 

      Kişi, Ömer; Ünal, Hatice Kübra (8th International Conference on Applied Analysis and Mathematical Modelling (ICAAMM19), 2019-03-10)
    • Deltohelicoidal surfaces 

      Güler, Erhan (2019-09-06)
      The surface theory has been working by many mathematicians, and also geometers for hundreds of years. We meet nice papers and books for the theory in the literature. In this paper, we consider deltohelicoidal surface in ...
    • Cardiohelicoidal surfaces 

      Güler, Erhan (2019-09-06)
      Geometers have been working the curve theory and the surface theory for hundreds of years. We see good works for the theories in the literature. In this work, we introduce cardiohelicoidal surface in the three dimensional ...
    • Curvatures of the translation hypersurface in 4-space 

      Güler, Erhan; Kişi, Ömer (2020-12-10)
      We study curvatures C_i (i=1,2,3) of translation hypersurface in the four dimensional Euclidean space. We also give some relations on C_i of translation hypersurface.
    • On fourth fundamental form of the translation hypersurface 

      Güler, Erhan; Kişi, Ömer (2020-12-10)
      We examine the fourth fundamental form of the translation hypersurface in the four dimensional Euclidean space. We also discuss I, II, III and IV fundamental forms of a translation hypersurface.