%0 Journal Article
%T Real Hypersurfaces in Complex Two-Plane Grassmannians Whose Jacobi Operators Corresponding to  -Directions are of Codazzi Type
%A Carlos J. G. Machado
%A Juan de Dios P¨Śrez
%A Young Jin Suh
%J Advances in Pure Mathematics
%P 67-72
%@ 2160-0384
%D 2011
%I Scientific Research Publishing
%R 10.4236/apm.2011.13015
%X We prove the non-existence of Hopf real hypersurfaces in complex two-plane Grassmannians whose Jacobi operators or the Jacobi corresponding to the directions in the distribution   are of Codazzi type if they satisfy a further condition. We obtain that that they must be either of type (A) or of type (B) (see [2]), but no one of these satisfies our condition. As a consequence, we obtain the non-existence of Hopf real hypersurfaces in such ambient spaces whose Jacobi operators corresponding to  -directions are parallel with the same further condition.
%K Real Hypersurfaces
%K Complex Two-Plane Grassmannians
%K Jacobi Operators
%K Codazzi Type
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=5193