Abstract: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.2010 Mathematics Subject Classification. Primary 53C25, 53C15; Secondary 53B20.Key words and phrases. complex Grassmannians of rank two. semi-parallel structure Jacobi operator. vanishing structure Jacobi operator.Let M be a connec… Show more
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