Translation Surfaces Generated by the Adjoint Curve in 3-dimensional Euclidean Space

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Saltık B., Yüksel N.

7th INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES ICMS 2023, İstanbul, Turkey, 5 - 09 July 2023, pp.86, (Summary Text)

• Publication Type: Conference Paper / Summary Text
• City: İstanbul
• Country: Turkey
• Page Numbers: pp.86
• Erciyes University Affiliated: Yes

Abstract

Abstract

In this talk, we examined the translation surfaces formed by a curve with constant curvature and its adjoint

curve. We calculated first fundamental form, second fundamental form, Gaussian curvature and mean cur-

vature of the translation surface. It has been shown that this surface is not developable. In addition, the

condition of being minimal for this surface was determined and its principal curvatures were calculated.

Keywords: Translation surfaces, adjoint curves, minimal surfaces.

2020 Mathematics Subject Classification Numbers: 53A04, 53A05, 53A10.