Abstract

In this paper we give some non-existence theorems for real hypersurfaces in complex two-plane Grassmannians <TEX>$G_2({\mathbb{C}}^{m+2})$</TEX> with Lie <TEX>${\xi}$</TEX>-parallel normal Jacobi operator <TEX>$\bar{R}_N$</TEX> and another geometric conditions.

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