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arxiv: 1712.05108 · v1 · pith:IG3PPGHNnew · submitted 2017-12-14 · 🧮 math.DG

Real hypersurfaces in complex Grassmannians of rank two with semi-parallel structure Jacobi operator

classification 🧮 math.DG
keywords complexgrassmanniansjacobioperatorrankrealstructurehypersurface
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We prove that there does not exist any real hypersurface in complex Grassmannians of rank two with semi-parallel structure Jacobi operator. With this result, the nonexistence of real hypersurface in complex Grassmannians of rank two with recurrent structure Jacobi operator is proved.

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