New results on derivatives of the shape operator of a real hypersurface in a complex projective space Pérez Jiménez, Juan De Dios Pérez López, David g-Tanaka-Webster connection Complex projective space Real hypersurface k-th Cho operator 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. For any nonnull real number k and any symmetric tensor field of type (1,1) L on M we can define a tensor field of type (1,2) on M, L(k) F , related to both connections. We study symmetry and skewsymmetry of the tensor A(k) F associated to the shape operatorA of M. 2021-09-23T07:47:05Z 2021-09-23T07:47:05Z 2021-06-01 info:eu-repo/semantics/article PEREZ, J. D. D., & Perez-lopez, D. (2021). New results on derivatives of the shape operator of a real hypersurface in a complex projective space. Turkish Journal of Mathematics, 45(4), 1801-1808. doi:[10.3906/mat-2006-8] http://hdl.handle.net/10481/70387 10.3906/mat-2006-8 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España Scientific and Technical Research Council of Turkey