Hopf hypersurfaces in complex two-plane Grassmannians with Lie parallel normal Jacobi operator
Bull. Korean Math. Soc. 2011 Vol. 48, No. 2, 427-444
https://doi.org/10.4134/BKMS.2011.48.2.427
Printed March 1, 2011
Imsoon Jeong, Hyunjin Lee, and Young Jin Suh
Kyungpook National University, Kyungpook National University, Kyungpook National University
Abstract : In this paper we give some non-existence theorems for Hopf hypersurfaces in the complex two-plane Grassmannian $G_2({\mathbb C}^{m+2})$ with Lie parallel normal Jacobi operator ${\bar R}_N$ and totally geodesic $\mathfrak D$ and ${\mathfrak D}^{\bot}$ components of the Reeb flow.
Keywords : complex two-plane Grassmannians, Hopf hypersurfaces, Reeb vector field, normal Jacobi operator, Lie derivative
MSC numbers : 53C40, 53C15
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