Yavuz, Ayşe Yaşar and Ekmekci, F. Nejat and Yaylı, Yusuf (2013) On the Gaussıan and Mean Curvatures of Parallel Hypersurfaces in E₁ⁿ⁺¹. British Journal of Mathematics & Computer Science, 4 (5). pp. 590-596. ISSN 22310851
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Ayşe452013BJMCS5963.pdf - Published Version
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Ayşe452013BJMCS5963.pdf - Published Version
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Official URL: https://doi.org/10.9734/BJMCS/2014/5963
Abstract
Let M be a hypersurfaces in (n+1) dimensional Lorentzian space E₁ⁿ⁺¹ and be a parallel hypersurfaces to M. Before now in [2] the theorem was proved on M in Euclidean space, but now we prove this theorem on in Lorentzian Space. In this study, we give higher order Gaussian curvatures of M in Lorentzian space by using its principal curvatures and we proved the theorem with induction method by using higher order Gaussian curvatures of M in Lorentzian space.
Item Type: | Article |
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Subjects: | GO for STM > Mathematical Science |
Depositing User: | Unnamed user with email support@goforstm.com |
Date Deposited: | 15 Jul 2023 07:06 |
Last Modified: | 30 Nov 2023 03:54 |
URI: | http://archive.article4submit.com/id/eprint/1135 |