Helicoidal surfaces in the three dimensional simply isotropic space 〉31

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KARACAN M. K., Yoon D., KIZILTUĞ S.

Tamkang Journal of Mathematics, cilt.48, sa.2, ss.123-134, 2017 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.5556/j.tkjm.48.2017.2200
  • Dergi Adı: Tamkang Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.123-134
  • Anahtar Kelimeler: Helicoidal surfaces, Laplacian operator, Simply isotropic space
  • Uşak Üniversitesi Adresli: Evet

Özet

In this paper, we classify helicoidal surfaces in the three dimensional simply isotropic space 〉31 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 formof the surface. We also give explicit forms of these surfaces.