- Konuralp Journal of Mathematics
- Vol: 9 Issue: 1
- Translation-Factorable Surfaces in 4-dimensional Euclidean Space
Translation-Factorable Surfaces in 4-dimensional Euclidean Space
Authors : Emine Pamuk, Betül Bulca
Pages : 193-200
View : 12 | Download : 7
Publication Date : 2021-04-28
Article Type : Research
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