2-Ruled hypersurfaces in Euclidean 4-space

2-Ruled hypersurfaces in Euclidean 4-space

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. Fi...

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Veröffentlicht in:Journal of geometry and physics 2021-08, Vol.166, p.104236, Article 104236
Hauptverfasser: Altın, Mustafa, Kazan, Ahmet, Yoon, Dae Won
Format: Artikel
Sprache:eng
Schlagworte:
2-Ruled hypersurface
Laplace–Beltrami operator
Minimal hypersurface
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Zusammenfassung: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 E4 and give some results about them.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2021.104236