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Generalized helicoidal 3-surface in 4-space
(Amasya Üniversitesi, 2017)
We consider the Gauss map of the rotational hypersurface in the four dimensional Euclidean space. We define the mean curvature and the Gaussian curvature formulas. We also find some geometric ...
Bour s theorem on gauss map in 3 euclidean space
(Hacettepe Üniversitesi, 2010)
In this paper some relations are established between the Laplace-Beltrami operator and the curvatures of helicoidal surfaces in 3-Euclidean space. In addition, Bour’s theorem on the Gauss map, andsome special examples are given.
On the gauss map of the rotational 3-surface in 4-space
(Amasya Üniversitesi, 2017)
We consider the Gauss map of the rotational hypersurface in the four dimensional Euclidean space. We define the mean curvature and the Gaussian curvature formulas. We also find some geometric ...
The gauss map and the third laplace-beltrami operator of the rotational hypersurface in 4-space
(2018)
We study and examine the rotational hypersurface and its Gauss map in Euclidean four-space E4 . We calculate the Gauss map, the mean curvature and the Gaussian curvature of the rotational hypersurface and obtain some ...
