New conditions on some derivatives of the structure Lie operator on 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 $k$th Cho operator Torsion operator Structure Lie operator Pure tensor field Hybrid tensor field Let $M$ be a real hypersurface in complex projective space equipped with both the Levi-Civita and $k$th generalized Tanaka-Webster connections, for any nonnull real number $k$. For any operator $B$ on $M$ we can define two tensor fields of type (1,2) on $M$, $B^{(k)}_F$ and $B^{(k)}_T$, related to both connections. In the particular case of $B = L$, the structure Lie operator on $M$, we study purity and hybridness of $L^{(k)}_F$ and $L^{(k)}_T$ with respect to the structure operator $\phi$. 2025-09-08T09:18:06Z 2025-09-08T09:18:06Z 2025-06-29 journal article Pérez, J.D., Pérez-López, D. New conditions on some derivatives of the structure Lie operator on a real hypersurface in complex projective space. J. Geom. 116, 17 (2025) https://hdl.handle.net/10481/106128 https://doi.org/10.1007/s00022-025-00757-6 eng open access Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License