@misc{10481/84383, year = {2023}, month = {8}, url = {https://hdl.handle.net/10481/84383}, abstract = {Let M be a real hypersurface of a complex projective space. For any operator B on M and any nonnull real number k, we can define two tensor fields of type (1,2) on M, BF(k) and BT(k) . We will classify real hypersurfaces in complex projective space for which BF(k) and BT(k) either take values in the maximal holomorphic distribution D or are parallel to the structure vector field ξ , in the particular case of B= A , where A denotes the shape operator of M. We also introduce the concept of AF(k) and AT(k) being D -recurrent and classify real hypersurfaces such that either AF(k) or AT(k) are D -recurrent.}, organization = {MICINN: PID 2020-116126GB-I00}, organization = {Universidad de Granada/CBUA}, publisher = {Springer Nature}, keywords = {kth Generalized Tanaka–Webster connection}, keywords = {Complex projective space}, keywords = {Real hypersurface}, keywords = {Shape operator}, keywords = {Lie derivative}, title = {Some Conditions Concerning the Shape Operator of a Real Hypersurface in Complex Projective Space}, doi = {10.1007/s41980-023-00797-1}, author = {Pérez Jiménez, Juan De Dios and Pérez López, David}, }