Rotational Hypersurfaces in Euclidean 4-Space with Density

Mustafa ALTIN

doi:https://doi.org/10.2339/politeknik.740513

Article Details

Rotational Hypersurfaces in Euclidean 4-Space with Density

Authors:

Mustafa ALTIN

Publisher:

Gazi University

Main Topics:

Applied physics

Journal:

Journal of Polytechnic 2022 Vol.25 Issue 1, pp.107-114

Document Type:

Article

Publication Date:

2/2022

Document Language:

English

Document ID (Org No.):

2000588621

Frequency:

Monthly

eISSN:

2147-9429

DOI:

https://doi.org/10.2339/politeknik.740513

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.

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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.

Article Details

Rotational Hypersurfaces in Euclidean 4-Space with Density

Authors: Mustafa ALTIN

Publisher: Gazi University

Main Topics: Applied physics

Journal: Journal of Polytechnic 2022 Vol.25 Issue 1, pp.107-114

Document Type: Article

Publication Date: 2/2022

Document Language: English

Document ID (Org No.): 2000588621

Frequency: Monthly

eISSN: 2147-9429

DOI: https://doi.org/10.2339/politeknik.740513

Issues

Authors:

Mustafa ALTIN

Publisher:

Gazi University

Main Topics:

Applied physics

Journal:

Journal of Polytechnic 2022 Vol.25 Issue 1, pp.107-114

Document Type:

Article

Publication Date:

2/2022

Document Language:

English

Document ID (Org No.):

2000588621

Frequency:

Monthly

eISSN:

2147-9429

DOI:

https://doi.org/10.2339/politeknik.740513