- Turkish Journal of Science
- Vol: 7 Issue: 2
- Tubular Hypersurfaces According to Extended Darboux Frame Field of First Kind in E4
Tubular Hypersurfaces According to Extended Darboux Frame Field of First Kind in E4
Authors : Mustafa ALTIN, Ahmet KAZAN
Pages : 75-84
View : 6 | Download : 2
Publication Date : 2022-09-30
Article Type : Research
Abstract :In this chapter, we study tubular hypersurfaces according to one of the extended Darboux frame field in Euclidean 4-space. We obtain the Gaussian and mean curvatures of tubular hypersurfaces according to extended Darboux frame field of first kind and give some results for them. Also, we prove a theorem about linear Weingarten tubular hypersurface and construct an example.Keywords : Tubular hypersurface, Extended Darboux frame field of First Kind, Linear Weingarten hypersurface