• Bour s theorem on gauss map in 3 euclidean space 

      Güler, Erhan; Yaylı, Yusuf; Hacısalihoğlu, Hasan Hilmi (Hacettepe Üniversitesi, 2010)
      In this paper some relations are established between the Laplace-Beltrami operator and the curvatures of helicoidal surfaces in 3-Euclidean space. In addition, Bour’s theorem on the Gauss map, andsome special examples are given.
    • Generalized bour s theorem 

      Güler, Erhan; Yaylı, Yusuf (Kuwait Journal of Science, 2015)
      We give the classical isometric minimal helicoidal and rotational surfaces using generalized Bour’s theorem in Euclidean 3-space. Furthermore, we investigate the minimality and have same Gauss map of the surfaces.
    • Laplace Beltrami operator of a helicoidal hypersurface in four space 

      Güler, Erhan; Magid, Martin; Yaylı, Yusuf (2016)
    • On generalized euler spirals in E3 

      Saraçoğlu Çelik, Semra; Yaylı, Yusuf; Güler, Erhan (2016)
      The Cornu spirals on plane are the curves whose curvatures are linear. Generalized planar cornu spirals and Euler spirals in E3, the curves whose curvatures are linear are deÖned in [1,5]. In this study, these curves are ...
    • Some characterizations of euler spirals In E3_1 

      Saraçoğlu Çelik, Semra; Yaylı, Yusuf; Güler, Erhan (2016)
      In this study, some characterizations of Euler spirals in E3_1 have been presented by using their main property that their curvatures are linear. Moreover, discussing some properties of Bertrand curves and helices, the ...