• 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • Generalized helicoidal 3-surface in 4-space 

      Güler, Erhan; Hacısalihoğlu, Hasan Hilmi (Amasya Üniversitesi, 2017)
      We consider the Gauss map of the rotational hypersurface in the four dimensional Euclidean space. We define the mean curvature and the Gaussian curvature formulas. We also find some geometric ...
    • 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.
    • 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.
    • On the gauss map of the rotational 3-surface in 4-space 

      Güler, Erhan; Hacısalihoğlu, Hasan Hilmi (Amasya Üniversitesi, 2017)
      We consider the Gauss map of the rotational hypersurface in the four dimensional Euclidean space. We define the mean curvature and the Gaussian curvature formulas. We also find some geometric ...
    • 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 ...
    • Rotational hypersurface in 4-Space 

      Güler, Erhan; Magid, Martin; Yaylı, Yusuf (Ahi Evran Üniversitesi, 2016)
      We consider rotational hypersurface in the four dimensional Euclidean space. We calculate the mean and the Gaussian curvature, and some relations of the rotational hypersurface. Moreover, we give the Laplace-Beltrami ...
    • The second laplace-Beltrami operator on rotational hypersurfaces in the euclidean 4-space 

      Güler, Erhan; Kişi, Ömer (Yıldız Teknik Üniversitesi, 2017)
      We consider rotational hypersurface in the four dimensional Euclidean space. Wecalculate the mean curvature and the Gaussian curvature, and some relations of therotational hypersurface. Moreover, we de ne the second ...
    • 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 ...
    • 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 ...