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Real hypersurfaces in complex two-plane grassmannians with parallel structure Jacobi operator

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Abstract

We give some non-existence theorems for Hopf real hypersurfaces in complex two-plane Grassmannians G 2(ℂm+2) with parallel structure Jacobi operator R ξ.

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Authors and Affiliations

  1. National Institute for Mathematical Sciences, Daejeon, 305-340, Korea

    I. Jeong

  2. Departamento de Geometría y Topología, Facultad de Ciencias, Universidad de Granada, 18071, Granada, Spain

    J. D. Pérez

  3. Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea

    Y. J. Suh

Authors
  1. I. Jeong
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  2. J. D. Pérez
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  3. Y. J. Suh
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Corresponding author

Correspondence to I. Jeong.

Additional information

The first author was supported by KRCF, Grant No. C-RESEARCH-2006-11-NIMS, the second author by MEC-FEDER Grant MTM 2007-60371 and the third author by grant Proj. No. R17-2008-001-01001-0 from Korea Science & Engineering Foundation.

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Jeong, I., Pérez, J.D. & Suh, Y.J. Real hypersurfaces in complex two-plane grassmannians with parallel structure Jacobi operator. Acta Math Hung 122, 173–186 (2009). https://doi.org/10.1007/s10474-008-8004-y

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  • DOI: https://doi.org/10.1007/s10474-008-8004-y

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