HELICOIDAL SURFACES IN THE THREE DIMENSIONAL SIMPLY ISOTROPIC SPACE I-3(1)


Karacan M. K. , Yoon D., KIZILTUĞ S.

TAMKANG JOURNAL OF MATHEMATICS, cilt.48, ss.123-134, 2017 (ESCI İndekslerine Giren Dergi)

  • Cilt numarası: 48 Konu: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.5556/j.tkjm.48.2017.2200
  • Dergi Adı: TAMKANG JOURNAL OF MATHEMATICS
  • Sayfa Sayısı: ss.123-134

Özet

In this paper, we classify helicoidal surfaces in the three dimensional simply isotropic space I-3(1) satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental form of the surface. We also give explicit forms of these surfaces.