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Bull. Korean Math. Soc. 2013; 50(2): 525-536
Printed March 31, 2013
https://doi.org/10.4134/BKMS.2013.50.2.525
Copyright © The Korean Mathematical Society.
Recurrent Jacobi operator of real hypersurfaces in complex two-plane Grassmannians
Imsoon Jeong, Juan de Dios P\'erez, and Young Jin Suh
Kyungpook National University, Universidad de Granada, Kyungpook National University
In this paper we give a non-existence theorem for Hopf hypersurfaces in the complex two-plane Grassmannian $G_2({\mathbb C}^{m+2})$ with recurrent normal Jacobi operator ${\bar R}_N$.
Keywords: real hypersurfaces, complex two-plane Grassmannians, recurrent normal Jacobi operator, distribution, Hopf hypersurfaces
MSC numbers: 53C40, 53C15
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