15. Uluslararası Geometri Sempozyumu, Amasya, Türkiye, 3 - 06 Temmuz 2017, ss.1
Ruled Surfaces According to Parallel Trasport Frame in E4
Esra DAMAR 1, Nural YÜKSEL2 and Murat Kemal KARACAN 3
1 Department of Automotive Technologies,Hitit University,Çorum,Turkey,firstname.lastname@example.org
2 Department of Mathematics, Erciyes University,Kayseri,Turkey,email@example.com
3 Department of Mathematics,Uşak University,Uşak,Turkey,murat.karacan@uşak.edu.tr
In this paper, we studied the ruled surface generated by a straight line in parallel transport frame moving along a curve in four dimensional Euclidean space and we obtained Gaussian and mean curvatures.
Some results and theorems related to be developable and Chen surfaces were given. As a result we gave a special example of ruled surfaces in E4.
Key Words: Ruled surface, Gaussian curvature, Developable surface.
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