Volume 34 • Number 2 • 2011   • Real Hypersurfaces in Complex Two-Plane Grassmannians with Recurrent Shape Operator Seonhui Kim, Hyunjin Lee and Hae Young Yang Abstract. We introduce the notion of recurrent hypersurfaces in complex two-plane Grassmannians \(G_2({\Bbb C}^{m+2})\) and give a non-existence theorem for a Hopf hypersurface in \(G_2({\Bbb C}^{m+2})\) with recurrent shape operator. 2010 Mathematics Subject Classification: Primary: 53C40; Secondary: 53C15. Full text: PDF