On two tensors associated to the structure Jacobi operator of a real hypersurface in complex projective space Pérez Jiménez, Juan De Dios Pérez López, David k-th generalized Tanaka–Webster connection Complex projective space Real hypersurface Lie derivative Jacobi structure operator A real hypersurface M in a complex projective space inherits an almost contact metric structure from the Kählerian structure of the ambient space. This almost contact metric structure allows us to define, for any nonzero real number k, the so-called k-th generalized Tanaka– Webster connection. With this connection and the Levi-Civita one we can associate two tensors of type (1,2) to the structure Jacobi operator Rξ of M.We classify real hypersurfaces in complex projective space for which such tensors satisfy a cyclic property. 2023-01-31T10:08:08Z 2023-01-31T10:08:08Z 2022-12-29 info:eu-repo/semantics/article Pérez, J.D., Pérez-López, D. On two tensors associated to the structure Jacobi operator of a real hypersurface in complex projective space. Period Math Hung (2022). [https://doi.org/10.1007/s10998-022-00508-z] https://hdl.handle.net/10481/79469 10.1007/s10998-022-00508-z eng http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Atribución 4.0 Internacional Springer