Bulletin of the Korean Mathematical Society (대한수학회보)

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REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WHOSE SHAPE OPERATOR IS OF CODAZZI TYPE IN GENERALIZED TANAKA-WEBSTER CONNECTION

  • Cho, Kyusuk (Department of Mathematics Kyungpook National University) ;
  • Lee, Hyunjin (The Center for Geometry and its Applications Pohang University of Science & Technology) ;
  • Pak, Eunmi (Department of Mathematics Kyungpook National University)
  • Received : 2012.07.30
  • Published : 2015.01.31
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Abstract

In this paper, we give a non-existence theorem of Hopf hypersurfaces in complex two-plane Grassmannians $G_2(\mathbb{C}^{m+2})$, $m{\geq}3$, whose shape operator is of Codazzi type in generalized Tanaka-Webster connection $\hat{\nabla}^{(k)}$.

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References

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