@misc{10481/106128,
year = {2025},
month = {6},
url = {https://hdl.handle.net/10481/106128},
abstract = {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 $\phi$.},
organization = {Proyecto MICINN PID 2020-116126GB-100},
organization = {Proyecto PY20-01391 de la Junta de Andalucía},
keywords = {$k$th generalized Tanaka-Webster connection},
keywords = {Complex projective space},
keywords = {Real hypersurface},
keywords = {$k$th Cho operator},
keywords = {Torsion operator},
keywords = {Structure Lie operator},
keywords = {Pure tensor field},
keywords = {Hybrid tensor field},
title = {New conditions on some derivatives of the structure Lie operator on a real hypersurface in complex projective space},
doi = {https://doi.org/10.1007/s00022-025-00757-6},
author = {Pérez Jiménez, Juan De Dios and Pérez López, David},
}