@article{Li2023, 
author = {Yanlin Li and Kemal Eren and Kebire Hilal Ayvacı and Soley Ersoy},
title = {The developable surfaces with pointwise 1-type Gauss map of Frenet type framed base curves in Euclidean 3-space},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {1},
pages = {2226-2239},
keywords = {Gauss maps, tangent developable surfaces, focal developable surfaces, rectifying developable surfaces, Frenet type frame base curves, singular points},
url = {https://www.sciopen.com/article/10.3934/math.2023115},
doi = {10.3934/math.2023115},
abstract = {In this study, the ruled developable surfaces with pointwise 1-type Gauss map of Frenet-type framed base (Ftfb) curve are introduced in Euclidean 3-space. The tangent developable surfaces, focal developable surfaces, and rectifying developable surfaces with singular points are considered. Then the conditions for the Gauss map of these surfaces to be pointwise 1-type are obtained separately. In order to form a basis for the study, first, the basic concepts related to the Ftfb curve and the Gauss map of a surface are recalled. Later, the necessary and sufficient conditions are found for these surfaces to be of the pointwise 1-type of the Gauss map. Finally, examples for each type of these surfaces are given, and their graphics are illustrated.}
}