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arXiv · 1601.03509

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

Konstantina Panagiotidou
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Abstract

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

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Konstantina Panagiotidou. 2016-01-14. Nullity distributions on real hypersurfaces in non-flat complex space forms. https://arxiv.org/abs/1601.03509

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