- Turkish Journal of Mathematics and Computer Science
- Vol: 11 Special Issue
- Astrohelicoidal Hypersurfaces in 4-space
Astrohelicoidal Hypersurfaces in 4-space
Authors : Erhan Güler, Ömer Kişi
Pages : 40-45
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Publication Date : 2019-12-30
Article Type : Other
Abstract :We consider an astrohelicoidal hypersurface which its profile curve has astroid curve in the four dimensional Euclidean space ${\mathbb{E}}^{4}$. We also calculate Gaussian curvature and the mean curvature, and Weingarten relation of the hypersurface. Moreover, projecting hypersurface into 3-spaces, we draw some figures.Keywords : astrohelicoidal hypersurface, Gauss map, Gaussian curvature, mean curvature