Bahaddin BUKCU, Dae Won YOON, Murat Kemal KARACAN

TRANSLATION SURFACES IN THE 3-DIMENSIONAL SIMPLY ISOTROPIC SPACE I13 SATISFYING IIIxi = ixi

In this paper, we classify translation surfaces in the three dimen- sional simply isotropic space I13 satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the third fundamental form of the surface. We also give explicit forms of these surfaces.

Keywords:

Simply isotropic space, translation surfaces, Laplace operator,

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Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2013
Yayıncı: Mehmet Zeki SARIKAYA

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