Abstract
The aim of the present paper is to prove the non-existence of real hypersurfaces equipped with recurrent structure Jacobi operator in a non-flat complex space form.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Berndt J.: Real hypersurfaces with constant principal curvatures in complex hyperbolic space. J. Reine. Angew. Math. 395, 132–141 (1989)
Blair D.E.: Riemannian Geometry of Contact and Symplectic Manifolds. Progress in Mathematics, Birkauser (2002)
Niebergall, R., Ryan, P.J.: Real Hypersurfaces in Complex Space Forms, pp. 233–305, Math. Sci. Res. Inst. Publ., 32. Cambridge Univ. Press, Cambridge (1997)
Ortega M., de Dios Perez J., Santos F.G.: Non-existence of real hypersurfaces with parallel structure Jacobi operator in nonflat complex space forms. Rock. Mt. J. Math. 36(5), 1603–1613 (2006)
de Dios Perez J., Santos F.G., Suh Y.J.: Real hypersurfaces in complex projective space whose structure Jacobi operator is \({\mathbb{D}}\)-parallel. Bull. Belg. Math. Soc. Simon Stevin 13(3), 459–469 (2006)
de Dios Perez J., Santos F.G.: Real hypersurfaces in complex projective space with recurrent structure Jacobi operator. Diff. Geom. Appl. 26(2), 218–223 (2008)
Takagi R.: On homogeneous real hypersurfaces in a complex projective space. Osaka J. Math. 10, 495–506 (1973)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Theofanidis, T., Xenos, P.J. Non-Existence of Real Hypersurfaces Equipped with Recurrent Structure Jacobi Operator in Nonflat Complex Space Forms. Results. Math. 61, 43–55 (2012). https://doi.org/10.1007/s00025-010-0074-9
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00025-010-0074-9