Translation-Factorable Surfaces in 4-dimensional Euclidean Space

Abstract

In this study we consider translation-factorable (TF-type) surfaces in Euclidean 4-space $\mathbb{E}^{4}$. We have calculated the Gaussian and mean curvature of the TF-type surfaces. Further, we give some sufficient conditions to become flat or minimal for these surfaces. Finally, we give some examples of TF-type surfaces and plot the projection of the graphics into the Euclidean 3-space.

Keywords

• Translation surface
• factorable surface
• Gaussian curvature
• mean curvature

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