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

Authors
Karacan, Murat KemalYoon, Dae WonKiziltug, Sezai
Issue Date
Jun-2017
Publisher
TAMKANG UNIV
Keywords
Helicoidal surfaces; Laplacian operator; simply isotropic space
Citation
TAMKANG JOURNAL OF MATHEMATICS, v.48, no.2, pp 123 - 134
Pages
12
Indexed
SCOPUS
ESCI
Journal Title
TAMKANG JOURNAL OF MATHEMATICS
Volume
48
Number
2
Start Page
123
End Page
134
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/13680
DOI
10.5556/j.tkjm.48.2017.2200
ISSN
0049-2930
2073-9826
Abstract
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.
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