On the Gaussıan and Mean Curvatures of Parallel Hypersurfaces in E₁ⁿ⁺¹

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

[thumbnail of Ayşe452013BJMCS5963.pdf] Text
Ayşe452013BJMCS5963.pdf - Published Version

Download (360kB)

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
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

Actions (login required)

View Item
View Item