Rotational Hypersurfaces in Euclidean 4-Space with Density

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Politeknik Dergisi
Volume:25 Issue:1
Rotational Hypersurfaces in Euclidean 4-Space with Density

Rotational Hypersurfaces in Euclidean 4-Space with Density

Pages : 107-114

View : 41 | Download : 13

Publication Date : 2022-03-01

Article Type : Research Paper

Abstract :In this paper, the Euclidean 4-space with a positive density function e^insert ignore into journalissuearticles values(x^2+y^2+z^2+t^2 ); is studied. Firstly, the weighted mean and weighted Gaussian curvature functions of a rotational hypersurface in 4-dimensional Euclidean space with density are obtained. The rotational hypersurfaces are constructed by solving these obtained functions which are second-order non-linear ordinary differential equations. Besides, the examples of rotational hypersurfaces are given with the aid of the weighted Gaussian and weighted mean curvatures in E^4 with density.
Keywords : Rotational hypersurfaces, 4 D Euclidean space with density, weighted mean curvatures, weighted Gaussian curvatures

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