• 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.
    • 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 ...
    • 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.
    • 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 ...
    • 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 ...
    • TF-type hypersurfaces in 4-Space 

      Güler, Erhan; Kişi, Ömer; Saraçoğlu Çelik, Semra (Mersin Üniversitesi, 2016)
      We study on translation and factorable hypersurfaces in the four dimensional Euclidean space. We calculate implicit algebraic equations of the hypersurfaces.
    • 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 ...
    • Torus-type helicoidal hypersurface in 4-space 

      Güler, Erhan; Kişi, Ömer (Karaman Üniversitesi, 2018)
    • Weierstrass representation, degree and classes of the surfaces in the four dimensional euclidean space 

      Güler, Erhan; Kişi, Ömer; Saraçoğlu, Semra (Mersin Üniversitesi, 2016)
      In this talk, we present on a minimal surface using Weierstrass representation inthe four dimensional Euclidean space. We compute implicit equations, degreeand class of the surface.