Relation between Higher Order Gaussian Curvatures of Parallel Hypersurfaces in E₁ⁿ⁺¹ Lorentz Space

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Year:
2014
Type of Publication:
Article
Keywords:
Hypersurface, Lorentzian Space, Higher Order Gaussian Curvatures, Parallel Hypersurface, Principal Curvatures
Authors:
Ayşe Yaşar Yavuz; H. Hilmi Hacısalihoğlu
Journal:
IJISM
Volume:
2
Number:
6
Pages:
509-513
Month:
November
Abstract:
Let M be a hypersurface in (n+1)-dimensional Lorentzian space E₁ⁿ⁺¹ and M ̅ be a parallel hypersurfaceto M. The higher order Gaussian curvatures of M and M ̅ in Euclidean space are known in [1]. In this paper we give the higher order Gaussian curvatures of M ̅ in Lorentzian space by using its principal curvatures.

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