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2-Ruled hypersurfaces in Euclidean 4-space
- Authors
- Altin, Mustafa; Kazan, Ahmet; Yoon, Dae Won
- Issue Date
- Aug-2021
- Publisher
- ELSEVIER
- Keywords
- 2-Ruled hypersurface; Minimal hypersurface; Laplace-Beltrami operator
- Citation
- JOURNAL OF GEOMETRY AND PHYSICS, v.166
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF GEOMETRY AND PHYSICS
- Volume
- 166
- ISSN
- 0393-0440
- Abstract
- In this paper, firstly we obtain the Gauss map (unit normal vector field) of a 2-ruled hypersurface in Euclidean 4-space with the aid of its general parametric equation. After, we obtain Gaussian and mean curvatures of the 2-ruled hypersurface and give some characterizations about its minimality. Finally, we deal with the first and second Laplace-Beltrami operators of 2-ruled hypersurfaces in E-4 and give some results about them. (C) 2021 Elsevier B.V. All rights reserved.
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