A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms Kaimakamis, George Panagiotidou, Konstantina Pérez Jiménez, Juan De Dios k-th generalized Tanaka–Webster connection k-th Cho operator Real hypersurface Ricci tensor Non-flat complex space form The authors would like to thank the reviewers for their valuable comments in order to improve the paper. The Levi-Civita connection and the k-th generalized Tanaka-Webster connection are defined on a real hypersurface M in a non-flat complex space form. For any nonnull constant k and any vector field X tangent to M the k-th Cho operator F (k) X is defined and is related to both connections. If X belongs to the maximal holomorphic distribution D on M, the corresponding operator does not depend on k and is denoted by FX and called Cho operator. In this paper, real hypersurfaces in non-flat space forms such that FXS = SFX, where S denotes the Ricci tensor of M and a further condition is satisfied, are classified. 2020-06-08T12:20:54Z 2020-06-08T12:20:54Z 2020-04 info:eu-repo/semantics/article Kaimakamis, G., Panagiotidou, K., & Pérez, J. D. D. (2020). A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms. Mathematics, 8(4), 642. [doi:10.3390/math8040642] http://hdl.handle.net/10481/62393 doi:10.3390/math8040642 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España MDPI