Astrohelicoidal Hypersurfaces in 4-space

Year 2019, Volume: 11, 40 - 45, 30.12.2019

Erhan Güler , Ömer Kişi

https://izlik.org/JA47PJ35NG

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

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