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Mustafa Altin

ROTATIONAL HYPERSURFACES GENERATED BY WEIGHTED MEAN CURVATURE IN E41 WITH DENSITY

ABSTRACT
In this paper, we study rotational hypersurfaces in 4-D Lorentz-Minkowski space with density. We give the weighted mean curvature of a rotational hypersurface about spacelike (timelike) axis in E41 with densities ex2-y2-z2 and ex-y-z (e-y2-z2-t2 and e-y-z-t). We obtain the parametric expressions of the rotational hypersurfaces about spacelike (timelike) axis in E4 1 with density ex2-y2-z2 (e-y2-z2-t2) with respect to the weighted mean curvature and give some examples for them. Also, we give some results about rotational hypersurfaces about spacelike (timelike) axis in E41 with density ex-y-z (e-y-z-t) to be with constant or non-constant weighted mean curvature.
KEYWORDS
rotational hypersurface, weighted mean curvature, density
PAPER SUBMITTED: 2021-05-26
PAPER REVISED: 2021-10-20
PAPER ACCEPTED: 2022-04-28
PUBLISHED ONLINE: 2022-07-23
DOI REFERENCE: https://doi.org/10.2298/TSCI2204043A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 4, PAGES [3043 - 3053]
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Rotational hypersurfaces generated by weighted mean curvature in E41 with density

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence