Submitted:
09 June 2018
Posted:
11 June 2018
You are already at the latest version
Abstract
We consider rotational hypersurface in the four dimensional Euclidean space. We calculate the mean curvature and the Gaussian curvature, and some relations of the rotational hypersurface. Moreover, we define the third Laplace-Beltrami operator and apply it to the rotational hypersurface.
Keywords:
4-space
; the third Laplace-Beltrami operator
; rotational hypersurface
; Gaussian curvature
; mean curvature
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
