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RECURRENT JACOBI OPERATOR OF REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS

  • Jeong, Imsoon (Department of Mathematics Kyungpook National University) ;
  • Perez, Juan De Dios (Departamento de Geometria y Topologia Facultad de Ciencias Universidad de Granada) ;
  • Suh, Young Jin (Department of Mathematics Kyungpook National University)
  • Received : 2011.11.11
  • Published : 2013.03.31

Abstract

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 re-current normal Jacobi operator ${\bar{R}}_N$.

Keywords

References

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  2. Real hypersurfaces in complex two-plane Grassmannians with recurrent Ricci tensor vol.12, pp.09, 2015, https://doi.org/10.1142/S0219887815500863
  3. Real hypersurfaces in the complex quadric with parallel normal Jacobi operator vol.290, pp.2-3, 2017, https://doi.org/10.1002/mana.201500428
  4. Real Hypersurfaces in the Complex Hyperbolic Quadric with Parallel Normal Jacobi Operator vol.15, pp.4, 2018, https://doi.org/10.1007/s00009-018-1202-0