Publication Date:
2018-09-13
Description:
Symmetry, Vol. 10, Pages 398: The Gauss Map and the Third Laplace-Beltrami Operator of the Rotational Hypersurface in 4-Space Symmetry doi: 10.3390/sym10090398 Authors: Erhan Güler Hasan Hilmi Hacısalihoğlu Young Ho Kim We study and examine the rotational hypersurface and its Gauss map in Euclidean four-space E 4 . We calculate the Gauss map, the mean curvature and the Gaussian curvature of the rotational hypersurface and obtain some results. Then, we introduce the third Laplace–Beltrami operator. Moreover, we calculate the third Laplace–Beltrami operator of the rotational hypersurface in E 4 . We also draw some figures of the rotational hypersurface.
Electronic ISSN:
2073-8994
Topics:
Mathematics
,
Physics