Open Access
2014 Lightlike Hypersurfaces in Lorentzian Manifolds with Constant Screen Principal Curvatures
C. Atindogbe, M. M. Mahi, J. Tossa
Afr. Diaspora J. Math. (N.S.) 16(2): 31-45 (2014).

Abstract

In this paper, we generalize the Cartan's fundamental formula on lightlike hypersurfaces, then we use it to show that a screen conformal lightlike hypersurface of a Lorentzian Euclidean space is locally a lightlike triple product manifold.

Citation

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C. Atindogbe. M. M. Mahi. J. Tossa. "Lightlike Hypersurfaces in Lorentzian Manifolds with Constant Screen Principal Curvatures." Afr. Diaspora J. Math. (N.S.) 16 (2) 31 - 45, 2014.

Information

Published: 2014
First available in Project Euclid: 20 October 2014

zbMATH: 1322.53022
MathSciNet: MR3270005

Subjects:
Primary: 53C20 , 53C40 , 53C50

Keywords: Lightlike hypersurface , screen conformal , screen principal curvature

Rights: Copyright © 2014 Mathematical Research Publishers

Vol.16 • No. 2 • 2014
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