Invariant null rigged hypersurfaces of indefinite nearly ${\alpha}$-Sasakian manifolds

Mohamed Hamed; Fortune Massamba

doi:10.4134/CKMS.c230230

Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2024; 39(2): 493-511

Online first article April 19, 2024 Printed April 30, 2024

https://doi.org/10.4134/CKMS.c230230

Invariant null rigged hypersurfaces of indefinite nearly ${\alpha}$-Sasakian manifolds

Mohamed H. A. Hamed, Fortune Massamba

University of KwaZulu-Natal; University of KwaZulu-Natal

Abstract

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Abstract

We introduce invariant rigged null hypersurfaces of indefinite almost contact manifolds, by paying attention to those of indefinite nearly $\alpha$-Sasakian manifolds. We prove that, under some conditions, there exist leaves of the integrable screen distribution of the ambient manifolds admitting nearly $\alpha$-Sasakian structures.

Keywords: Null hypersurface, null rigging hypersurface, screen distribution, indefinite nearly ${\alpha}$-Sasakian manifold

MSC numbers: Primary 53C25, 53C40, 53C50

Supported by: This work is based on the research supported by the National Research Foundation of South Africa.