Translation-Factorable Surfaces in 4-dimensional Euclidean Space

Authors : Emine PAMUK, Betül BULCA

Pages : 193-200

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Publication Date : 2021-04-28

Article Type : Research Paper

Abstract :In this study we consider translation-factorable insert ignore into journalissuearticles values(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