Commuting Conditions of the k-th Cho operator with the structure Jacobi operator of real hypersurfaces in complex space forms
Panagiotidou, Konstantina
Pérez Jiménez, Juan de Dios
Real hypersurfaces
Structure Jacobi operator
Cho operator
Non-flat complex space forms
In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified. Furthermore, it is proved that the only three dimensional real hypersurfaces in non-flat complex space forms, whose k-th Cho operator with respect to any vector field X orthogonal to structure vector field commutes with the structure Jacobi operator, are the ruled ones. Finally, results concerning real hypersurfaces in complex hyperbolic space satisfying the above conditions are also provided.
2015-10-22T10:25:08Z
2015-10-22T10:25:08Z
2015
info:eu-repo/semantics/article
Panagiotidou, K.; Pérez Jiménez, J.D. Commuting Conditions of the k-th Cho operator with the structure Jacobi operator of real hypersurfaces in complex space forms. Open Mathematics, 13(1): 321-332 (2015). [http://hdl.handle.net/10481/38572]
2391-5455
http://hdl.handle.net/10481/38572
10.1515/math-2015-0032
eng
http://creativecommons.org/licenses/by-nc-nd/3.0/
info:eu-repo/semantics/openAccess
Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License
Gruyter Open