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

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4
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5

초록

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.

키워드

Helicoidal surfacesLaplacian operatorsimply isotropic space
제목
HELICOIDAL SURFACES IN THE THREE DIMENSIONAL SIMPLY ISOTROPIC SPACE I-3(1)
저자
Karacan, Murat KemalYoon, Dae WonKiziltug, Sezai
DOI
10.5556/j.tkjm.48.2017.2200
발행일
2017-06
유형
Article
저널명
Tamkang Journal of Mathematics
48
2
페이지
123 ~ 134