Abstract
We study lightlike hypersurfaces of semi-Riemannian manifolds admitting a semi-symmetric non-metric connection whose structure vector field is tangent to the hypersurface. We prove that the null sectional curvature of the lightlike hypersurface vanishes. We obtain Chen-like inequalities on lightlike hypersurfaces of a semi-Riemannian manifold admitting a semi-symmetric non-metric connection.
Version Information
The current pdf replaces the original pdf file, first available on 16 December 2021. The new version corrects the DOI prefix to read 10.32513.
Citation
Garima Gupta. Rakesh Kumar. Rakesh Kumar Nagaich. "Chen-like inequalities on lightlike hypersurfaces of semi-Riemannian manifolds." Tbilisi Math. J. 14 (4) 97 - 110, December 2021. https://doi.org/10.32513/asetmj/1932200816
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