Real hypersurfaces in a non-flat complex space form with Lie recurrent structure Jacobi operator (Q2872199)

The study of real hypersurfaces in complex space forms was initiated by \textit{R. Takagi} [Osaka J. Math. 10, 495--506 (1973; Zbl 0274.53062); J. Math. Soc. Japan 27, 43--53 (1975; Zbl 0292.53042)]. He studied different types of real hypersurfaces. On the other hand, the Lie derivative of the structure Jacobi operator has been extensively studied in different papers.NEWLINENEWLINE The author dedicates the present paper to the study of real hypersurfaces in non-flat complex space forms and proves that there exist no real hypersurfaces in such ambient space forms whose structure Jacobi operator is Lie recurrent.