Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Hopf Hypersurfaces in Complex Two-plane Grassmannians with Generalized Tanaka-Webster Reeb-parallel Structure Jacobi Operator

  • Kim, Byung Hak (Department of Applied Mathematics and Institute of Natural Sciences, Kyung Hee University) ;
  • Lee, Hyunjin (The Research Institute of Real and Complex Manifolds, Kyungpook National University) ;
  • Pak, Eunmi (Department of Mathematics, Kyungpook National University)
  • Received : 2017.12.28
  • Accepted : 2018.02.27
  • Published : 2019.09.23
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Abstract

In relation to the generalized Tanaka-Webster connection, we consider a new notion of parallel structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians and prove the non-existence of real hypersurfaces in $G_2({\mathbb{C}}^{m+2})$ with generalized Tanaka-Webster parallel structure Jacobi operator.

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References

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