On the structure Jacobi operator of a real hypersurface in complex projective space

摘要

We prove the non-existence of a certain family of real hypersurfaces in complex projective space. From this result we classify real hypersurfaces whose structure Jacobi operator satisfies a condition that generalizes parallelness. Keywords Complex projective space - Real hypersurface - Structure Jacobi operator Mathematics Subject Classification (2000) 53C15 - 53B25 Communicated by D. V. Alekseevsky.