Translation surfaces in affine 3-space

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Lone M. S., KARACAN M. K., TUNÇER Y., ES H.

Hacettepe Journal of Mathematics and Statistics, vol.49, no.6, pp.1944-1954, 2020 (SCI-Expanded, Scopus, TRDizin)

• Publication Type: Article / Article
• Volume: 49 Issue: 6
• Publication Date: 2020
• Doi Number: 10.15672/hujms.564921
• Journal Name: Hacettepe Journal of Mathematics and Statistics
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
• Page Numbers: pp.1944-1954
• Keywords: Affine space, Laplace operator, Translation surfaces
• Open Archive Collection: AVESIS Open Access Collection
• Uşak University Affiliated: Yes

Abstract

In this paper, we study translation surfaces in three dimensional affine space. We char-acterize the finite type non-degenerate translation surfaces with respect to the first affine and the second affine fundamental forms.