• Differential equations on the rotational hypersurfaces in E5 

      Güler, Erhan; Kişi, Ömer (Mersin Üniversitesi, 2017)
    • The gauss map and the third laplace-beltrami operator of the rotational hypersurface in 4-space 

      Güler, Erhan; Hacısalihoğlu, Hasan Hilmi; Kim, Young Ho (2018)
      We study and examine the rotational hypersurface and its Gauss map in Euclidean four-space E4 . We calculate the Gauss map, the mean curvature and the Gaussian curvature of the rotational hypersurface and obtain some ...
    • 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 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 ...
    • 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 ...
    • Rotational hypersurfaces in E6 

      Güler, Erhan; Kişi, Ömer (Mersin Üniversitesi, 2018)
    • Rotational hypersurfaces in S3(r)XR product space 

      Güler, Erhan; Kişi, Ömer (Sakarya University Journal of Science, 2017)
      We consider rotational hypersurfaces in S3(r)XR product space of five dimensional Euclidean space E^5. We calculate the mean curvature and the Gaussian curvature, and give some results.
    • The second laplace-beltrami operator on rotational hypersurfaces in the euclidean 4-space 

      Güler, Erhan; Kişi, Ömer (2018)
      We consider rotational hypersurface in the four dimensional Euclidean space. We calculate the mean curvature and the Gaussian curvature, and some relations of the rotational hypersurface. Moreover, we define the second ...
    • 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 ...
    • 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 ...