Jeong, Imsoon; Suh, Young J. Real hypersurfaces in complex two-plane Grassmannians with \(\mathfrak F\)-parallel normal Jacobi operator. (English) Zbl 1260.53093 Romero Sarabia, Alfonso (ed.) et al., Florentino García Santos: In memoriam. Granada: Editorial Universidad de Granada (ISBN 978-84-338-5347-9/pbk). Homenajes, 95-105 (2011). Summary: We give a non-existence theorem for Hopf hypersurfaces \(M\) in complex two-plane Grassmannians \(G_2(\mathbb{C}^{m+2})\) whose normal Jacobi operator \(\overline R_N\) is parallel on the distribution \({\mathfrak F}\) defined by \({\mathfrak F}=[\xi]\cup{\mathfrak D}^\perp\), where \([\xi]= \text{Span}\{\xi\}\), \({\mathfrak D}^\perp= \text{Span}\{\xi_1,\xi_2, \xi_3\}\) and \(T_xM={\mathfrak D}\oplus{\mathfrak D}^\perp\), \(x\in M\).For the entire collection see [Zbl 1243.00023]. MSC: 53C40 Global submanifolds Keywords:normal Jacobi operator; homogeneous hypersurface PDFBibTeX XMLCite \textit{I. Jeong} and \textit{Y. J. Suh}, in: Florentino García Santos: In memoriam. Granada: Editorial Universidad de Granada. 95--105 (2011; Zbl 1260.53093)