Rotational Hypersurfaces in Euclidean 4-Space with Density

In this paper, the Euclidean 4-space with a positive density function e^(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.

Anahtar Kelimeler:

Rotational hypersurfaces, 4-D Euclidean space with density, weighted mean curvatures, weighted Gaussian curvatures

Rotational Hypersurfaces in Euclidean 4-Space with Density

Keywords:

Rotational hypersurfaces, Euclidean 4-space with density, weighted mean curvatures, weighted Gaussian curvatures,

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