Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Real Hypersurfaces in the Complex Hyperbolic Quadric with Killing Shape Operator

  • Jeong, Imsoon (Division of Future Capability Education, Pai Chai University) ;
  • Suh, Young Jin (Department of Mathematics & Research Institute of Real and Complex Manifolds, Kyungpook National University)
  • Received : 2017.04.24
  • Accepted : 2017.06.26
  • Published : 2017.12.23
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Abstract

We introduce the notion of Killing shape operator for real hypersurfaces in the complex hyperbolic quadric $Q^{m*}=SO_{m,2}/SO_mSO_2$. The Killing shape operator implies that the unit normal vector field N becomes A-principal or A-isotropic. Then according to each case, we give a complete classification of real hypersurfaces in $Q^{m*}=SO_{m,2}/SO_mSO_2$ with Killing shape operator.

Keywords

Acknowledgement

Supported by : National Research Foundation of Korea

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