Nullity distributions on real hypersurfaces in non-flat complex space forms

In this paper the result of real hypersurfaces in non-flat complex space forms, whose structure vector field $ξ$ belongs to the $κ$-nullity distribution is extended in case of three dimensional real hypersurfaces in non-flat complex space forms. Furthermore, generalization of notion ($κ$,$μ$)-nullity distribution defined on real hypersurfaces and results of real hypersurfaces, whose structure vector field $ξ$ belongs to the previous distribution are provided. Finally, the notion of ($κ$,$μ$,$ν$)-nullity distribution is introduced in case of real hypersurfaces in non-flat complex space forms and real hypersurfaces, whose structure vector field $ξ$ belongs to the previous distribution are studied.

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