À propos de cet article
Publié en ligne: 23 nov. 2021
Pages: 269 - 283
Reçu: 03 mars 2021
Accepté: 28 avr. 2021
DOI: https://doi.org/10.2478/auom-2021-0044
Mots clés
© 2021 Ali Uçum et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In this paper, we study generalized helicoidal surfaces in Euclidean 5-space. We obtain the necessary and sufficient conditions for generalized helicoidal surfaces in Euclidean 5-space to be minimal, flat or of zero normal curvature tensor, which are ordinary differential equations. We solve those equations and discuss the completeness of the surfaces.