2-Ruled hypersurfaces in Euclidean 4-space
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초록

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.

키워드

2-Ruled hypersurfaceMinimal hypersurfaceLaplace-Beltrami operatorRULED SURFACES
제목
2-Ruled hypersurfaces in Euclidean 4-space
저자
Altin, MustafaKazan, AhmetYoon, Dae Won
DOI
10.1016/j.geomphys.2021.104236
발행일
2021-08
유형
Article
저널명
Journal of Geometry and Physics
166