Lie Derivatives of the Shape Operator of a Real Hypersurface in a Complex Projective Space Pérez Jiménez, Juan De Dios Pérez López, David kth g-Tanaka–Webster connection Complex projective space Real hypersurface Shape operator Lie derivatives This work was supported by MINECO-FEDER Project MTM 2016-78807-C2-1-P. We consider real hypersurfaces M in complex projective space equipped with both the Levi-Civita and generalized Tanaka–Webster connections. Associated with the generalized Tanaka–Webster connection we can define a differential operator of first order. For any nonnull real number k and any symmetric tensor field of type (1,1) B on M, we can define a tensor field of type (1,2) on M, B(k) T , related to Lie derivative and such a differential operator. We study symmetry and skew symmetry of the tensor A(k) T associated with the shape operator A of M. 2021-10-15T06:47:45Z 2021-10-15T06:47:45Z 2021-09-07 info:eu-repo/semantics/article Pérez, J.d.D., Pérez-López, D. Lie Derivatives of the Shape Operator of a Real Hypersurface in a Complex Projective Space. Mediterr. J. Math. 18, 207 (2021). [https://doi.org/10.1007/s00009-021-01832-3] http://hdl.handle.net/10481/70864 10.1007/s00009-021-01832-3 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España Springer