Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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HOPF HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH LIE PARALLEL NORMAL JACOBI OPERATOR

  • Jeong, Im-Soon (Department of Mathematics Kyungpook National University) ;
  • Lee, Hyun-Jin (Graduate School of Electrical Engineering and Computer Sciences Kyungpook National University) ;
  • Suh, Young-Jin (Department of Mathematics Kyungpook National University)
  • Received : 2009.09.22
  • Published : 2011.03.31
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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 D and $D^{\bot}$ components of the Reeb flow.

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References

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  2. RECURRENT JACOBI OPERATOR OF REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS vol.50, pp.2, 2013, https://doi.org/10.4134/BKMS.2013.50.2.525