Translation surfaces in the three-dimensional simply isotropic space II31

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18

초록

In this paper, we classify translation surfaces in the three-dimensional simply isotropic space II31 under the condition Delta(i)x(i) = lambda(i)x(i) where Delta is the Laplace operator with respect to the first and second fundamental forms and lambda is a real number. We also give explicit forms of these surfaces.

키워드

Simply isotropic space; translation surfaces; Laplace operator; REVOLUTION
제목
Translation surfaces in the three-dimensional simply isotropic space II31
저자
Karacan, Murat Kemal; Yoon, Dae Won; Bukcu, Bahaddin
DOI
10.1142/S0219887816500882
발행일
2016-08
유형
Article
저널명
International Journal of Geometric Methods in Modern Physics
권
13
호
7