A Note on Lightlike Hypersurfaces of Semi-riemannian Space Form

Authors

  • Yaning Wang Department of Mathematics, South China University of Technology Guangzhou, Guangdong, P. R. China
  • Ximin Liu School of Mathematical Sciences, Dalian University of Technology Dalian, Liaoning, P. R. China

DOI:

https://doi.org/10.5644/SJM.09.2.12

Keywords:

Lightlike hypersurface, semi-Riemannian space form, screen conformal, conformal Killing distribution

Abstract

In this paper, we mainly study lightlike hypersurfaces of semi-Riemannian space form. Our main result is a classification theorem of screen conformal lightlike hypersurfaces. Also, we obtain some geometric properties of lightlike hypersurfaces with a conformal Killing distribution.

 

2010 Mathematics Subject Classification. 53C25, 53C50.

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References

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Published

07.06.2024

How to Cite

Wang, Y., & Liu, X. (2024). A Note on Lightlike Hypersurfaces of Semi-riemannian Space Form. Sarajevo Journal of Mathematics, 9(2), 283–291. https://doi.org/10.5644/SJM.09.2.12

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Articles