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 Real hypersurfaces in complex two-plane Grassmannians with commuting structure Jacobi operator Bull. Korean Math. Soc. 2008 Vol. 45, No. 3, 495-507 Published online September 1, 2008 Young Jin Suh and Hae Young Yang Kyungpook National University, Kyungpook National University Abstract : In this paper we give a complete classification of real hypersurfaces in complex two-plane Grassmannians $G_2({\mathbb C}^{m+2})$ with commuting structure Jacobi operator $R_{\xi}$ and another geometric condition. Keywords : real hypersurfaces, complex two-plane Grassmannians, commuting structure Jacobi operator, Reeb flow MSC numbers : Primary 53C40; Secondary 53C15 Downloads: Full-text PDF