%0 Journal Article
%T Real hypersurfaces in complex two-plane Grassmannians with commuting restricted Jacobi operators
%A Eunmi Pak
%A Young Jin Suh
%A Changhwa Woo
%J Mathematics
%D 2014
%I arXiv
%X In this paper, we have considered a new commuting condition, that is, $(R_\xi\phi) S = S (R_\xi\phi)$ \big(resp. $(\Bar{R}_N\phi) S = S (\Bar{R}_N\phi$)\big) between the restricted Jacobi operator~$R_\xi\phi$ (resp. $\Bar{R}_N\phi$), and the Ricci tensor $S$ for real hypersurfaces $M$ in $G_2({\mathbb C}^{m+2})$. In terms of this condition we give a complete classification for Hopf hypersurfaces $M$ in $G_2({\mathbb C}^{m+2})$.
%U http://arxiv.org/abs/1409.7177v1