Kyungpook Mathematical Journal

  • 제48권3호
  • /
  • Pages.433-442
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  • 2008
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Real Hypersurfaces in Complex Hyperbolic Space with Commuting Ricci Tensor

  • Ki, U-Hang (The National Academy of Sciences) ;
  • Suh, Young-Jin (Department of Mathematics, Kyungpook National University)
  • 투고 : 2007.10.11
  • 발행 : 2008.09.30
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초록

In this paper we consider a real hypersurface M in complex hyperbolic space $H_n\mathbb{C}$ satisfying $S{\phi}A\;=\;{\phi}AS$, where $\phi$, A and S denote the structure tensor, the shape operator and the Ricci tensor of M respectively. Moreover, we give a characterization of real hypersurfaces of type A in $H_n\mathbb{C}$ by such a commuting Ricci tensor.

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참고문헌

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피인용 문헌

  1. Real Hypersurfaces in Complex Two-plane Grassmannians with F-parallel Normal Jacobi Operator vol.51, pp.4, 2011, https://doi.org/10.5666/KMJ.2011.51.4.395