Preprint
Article
The Third Laplace-Beltrami Operator of the Rotational Hypersurface in 4-Space
This version is not peer-reviewed.
Submitted:
09 June 2018
Posted:
11 June 2018
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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.
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