Open AccessHelicoidal Surfaces in the three dimensional simply isotropic space I₃¹
Author(s) -
Murat Kemal Karacan,
Dae Won Yoon,
Sezai Kızıltuğ
Publication year - 2017
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.48.2017.2200
Subject(s) - isotropy , mathematics , surface (topology) , space (punctuation) , laplace operator , algebraic number , mathematical analysis , pure mathematics , geometry , algebra over a field , computer science , physics , quantum mechanics , operating system
In this paper, we classify helicoidal surfaces in the three dimensional simply isotropic space I₃¹ 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.