MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Non-null helicoidal surfaces as non-null Bonnet surfaces
Abdullah Inalc{\i}k and Soley Ersoy

Abstract

In this study, we obtain an equivalent of the Codazzi-Mainardi equations for spacelike and timelike surfaces in three dimensional Lorentz space $\Bbb{R}_1^3$. Also, we find necessary and sufficient conditions for spacelike and timelike helicoidal surfaces with non-null axis to be Bonnet surfaces.

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Keywords: Bonnet surface; helicoidal surface; Lorentz space form.

MSC: 53A10, 53B30

Pages:  182$-$191     

Volume  68 ,  Issue  3 ,  2016