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Surfaces given with the Monge patch in E4

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Akademik Birimler

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Bulca, Betül
Arslan, Kadri

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B Verkin Inst Low Temperature Physics and Engineering Nas Ukraine

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In the present paper we consider the surfaces in the Euclidean 4-space E-4 given with a Monge patch z = f (u, v), w = g(u, v) and study the curvature properties of these surfaces. We also give some special examples of these surfaces first defined by Yu. Aminov. Finally, we prove that every Aminov surface is a non-trivial Chen surface.

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Mathematics, Physics, Monge patch, Translation surface, Chen surface

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Bulca, B. ve Arslan, K. (2013). “Surfaces given with the Monge patch in E4”. Journal of Mathematical Physics, Analysis, Geometry, 9(4), 435-447.

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