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Real hypersurfaces in complex two-plane Grassmannians with commuting normal Jacobi operator

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Abstract

We give a complete classification of \( \mathfrak{D}^ \bot \)-invariant real hypersurfaces in complex two-plane Grassmannians G 2(Cm+2) with commuting normal Jacobi operator \( \bar R_N \).

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Authors and Affiliations

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

    J. de dios Pérez

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

    I. Jeong & Y. J. Suh

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

Correspondence to J. de dios Pérez.

Additional information

The first author was supported by MCYT-FEDER grant BFM 2001-2871-C04-01, the second author by grant Proj. No. KRF-2006-351-C00004 from Korea Research Foundation and the third author by grant Proj. No. R14-2002-003-01001-0 from Korea Research Foundation, Korea 2006 and Proj. No. R17-2007-006-01000-0 from KOSEF.

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de dios Pérez, J., Jeong, I. & Suh, Y.J. Real hypersurfaces in complex two-plane Grassmannians with commuting normal Jacobi operator. Acta Math Hung 117, 201–217 (2007). https://doi.org/10.1007/s10474-007-6091-9

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  • DOI: https://doi.org/10.1007/s10474-007-6091-9

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