African Diaspora Journal of Mathematics

Screen Conformal Invariant Light-like Hypersurfaces of Indefinite Sasakian Space Forms

F. Massamba

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In this paper, we investigate a class of screen conformal invariant lightlike hypersurfaces of an indefinite Sasakian manifold. The geometric configuration of such hypersurfaces is established. We prove that its geometry is closely related to the one of leaves of its conformal screen distributions. We also prove that, in any leaf of a conformal screen distribution of an invariant lightlike hypersurface of an indefinite Sasakian space form, the parallelism and semiparallelism notions are equivalent.

Article information

Afr. Diaspora J. Math. (N.S.), Volume 14, Number 2 (2012), 22-37.

First available in Project Euclid: 31 July 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.) 53C50: Lorentz manifolds, manifolds with indefinite metrics

Indefinite Sasakian space form Lightlike hypersurface Screen conformal distribution


Massamba, F. Screen Conformal Invariant Light-like Hypersurfaces of Indefinite Sasakian Space Forms. Afr. Diaspora J. Math. (N.S.) 14 (2012), no. 2, 22--37.

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