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

Mohamed H. A. Hamed|Fortune Massamba
대한수학회 (The Korean Mathematical Society)|2024.04|대한수학회논문집 (Communications of the KMS)|제39권 제2호|pp. 493-511|DOI 10.4134/CKMS.c230230

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키워드

screen distributionNull hypersurfacenull rigging hypersurfaceindefinite nearly ${\alpha}$-Sasakian manifold
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초록

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.

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.

참고문헌 (18)

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관련 논문AI추천

On Indefinite locally conformal cosymplectic manifoldsAnge Maloko Mavambou, Fortune Massamba, Samuel Ssekajja대한수학회 · 대한수학회논문집2017 · 제32권 제3호Indefinite Generalized Sasakian Space Form Admitting a Lightlike Hypersurface진대호경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제4호Indefinite trans-Sasakian manifold admitting an ascreen half lightlike submanifold진대호대한수학회 · 대한수학회논문집2014 · 제29권 제3호Special half lightlike submanifolds of an indefinite Sasakian manifold진대호대한수학회 · 대한수학회논문집2014 · 제29권 제1호Non-existence of totally geodesic screen distributions on lightlike hypersurfaces of indefinite Kenmotsu manifolds진대호대한수학회 · 대한수학회논문집2013 · 제28권 제2호Lightlike Hypersurfaces of an Indefinite Nearly Trans-Sasakian Manifold with an (l,m)-type Connection이재원, 이철우경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제2호

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