Kyungpook Mathematical Journal

  • 제56권2호
  • /
  • Pages.541-575
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  • 2016
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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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Jacobi Operators with Respect to the Reeb Vector Fields on Real Hypersurfaces in a Nonflat Complex Space Form

  • 투고 : 2015.08.18
  • 심사 : 2016.01.19
  • 발행 : 2016.06.23
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초록

Let M be a real hypersurface of a complex space form with almost contact metric structure (${\phi}$, ${\xi}$, ${\eta}$, g). In this paper, we prove that if the structure Jacobi operator $R_{\xi}= R({\cdot},{\xi}){\xi}$ is ${\phi}{\nabla}_{\xi}{\xi}$-parallel and $R_{\xi}$ commute with the structure tensor ${\phi}$, then M is a homogeneous real hypersurface of Type A provided that $TrR_{\xi}$ is constant.

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참고문헌

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피인용 문헌

  1. Structure Jacobi Operators of Real Hypersurfaces with Constant Mean Curvature in a Complex Space Form vol.56, pp.4, 2016, https://doi.org/10.5666/KMJ.2016.56.4.1207