Affiliation:
1. Technical Sciences Vocational School, Bingol University, Bingol, Turkey
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.
Publisher
National Library of Serbia
Subject
Renewable Energy, Sustainability and the Environment
Reference30 articles.
1. ***, Wikipedia, Wikipedia: Surface of Revolution, Wikimedia Foundation Inc., 2020, (UTC), Available from https://en.wikipedia.org/wiki/Surface-of-revolution, 2020
2. Moore, C., Surfaces of Rotation in a Space of 4-D, Ann. Math., 21 (1919), pp. 81-93
3. Chen, B. Y., Ishikawa, S., On Classification of some Surfaces of Revolution of Finite Type, Tsukuba J. Math., 17 (1993), 1, pp. 287-298
4. Yoon, D. W., Rotation Surfaces with Finite Type Gauss map in E4, Indian J. Pure Appl. Math., 32 (2001), 12, pp. 1803-1808
5. Dursun, U., Rotational Hypersurfaces in Lorentz-Minkowski Space with Constant Mean Curvature, Taiwanese J. of Math., 14 (2010), 2, pp. 685-705
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