Rotational Hypersurfaces in Euclidean 4-Space with Density
Authors : Mustafa ALTIN
Pages : 107-114
Doi:10.2339/politeknik.740513
View : 10 | Download : 3
Publication Date : 2022-03-01
Article Type : Research
Abstract :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.Keywords : Rotational hypersurfaces, 4-D Euclidean space with density, weighted mean curvatures, weighted Gaussian curvatures