Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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INVARIANT NULL RIGGED HYPERSURFACES OF INDEFINITE NEARLY α-SASAKIAN MANIFOLDS

  • Mohamed H. A. Hamed (School of Mathematics, Statistics and Computer Science University of KwaZulu-Natal) ;
  • Fortune Massamba (School of Mathematics, Statistics and Computer Science University of KwaZulu-Natal)
  • Received : 2023.09.07
  • Accepted : 2024.01.25
  • Published : 2024.04.30
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Abstract

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

Keywords

Acknowledgement

Mohamed H. A. Hamed would like to thank the Simons Foundation through the RGSM-Project for financial support. The authors thank the referee for helping them to improve the presentation.

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