Astrohelicoidal Hypersurfaces in 4-space

Authors : Erhan GÜLER, Ömer KİŞİ

Pages : 40-45

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Publication Date : 2019-12-30

Article Type : Conference Paper

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