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Real hypersurfaces in complex two-plane Grassmannians with parallel normal Jacobi operator. (English) Zbl 1274.53080
Summary: In this paper we give a non-existence theorem for Hopf hypersurfaces in complex two-plane Grassmannians $$G_2(\mathbb C^{m+2})$$ with parallel normal Jacobi operator $$\bar R_N$$.

##### MSC:
 53C40 Global submanifolds 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)