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Translation-Factorable Surfaces in 4-dimensional Euclidean Space

Authors :
PAMUK, Emine
BULCA, Betül
Source :
Volume: 9, Issue: 1 193-200, Konuralp Journal of Mathematics
Publication Year :
2020
Publisher :
Mehmet Zeki SARIKAYA, 2020.

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.

Details

Language :
English
ISSN :
2147625X
Database :
OpenAIRE
Journal :
Volume: 9, Issue: 1 193-200, Konuralp Journal of Mathematics
Accession number :
edsair.tubitakulakb..9750494cb0f745dcc139169797ecd6ec