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Commuting structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians

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Abstract

We classify real hypersurfaces in complex two-plane Grassmannians whose structure Jacobi operator commutes either with any other Jacobi operator or with the normal Jacobi operator.

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Authors and Affiliations

  1. Departamento de Geometria y Topologia, Universidad de Granada, 18071, Granada, Spain

    Carlos J. G. Machado & Juan de Dios Pérez

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

    Young Jin Suh

Authors
  1. Carlos J. G. Machado
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  2. Juan de Dios Pérez
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  3. Young Jin Suh
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Corresponding author

Correspondence to Carlos J. G. Machado.

Additional information

Supported by National Research Foundation of Korea (Grant No. NRF-2011-220-1-C00002); the second author is partially supported by MCT (Grant No. MTM2010-18099); the third author is supported by NRF (Grant No. NRF-2012-R1A2A2A-01043023)

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Machado, C.J.G., Pérez, J.d.D. & Suh, Y.J. Commuting structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians. Acta. Math. Sin.-English Ser. 31, 111–122 (2015). https://doi.org/10.1007/s10114-015-1765-7

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  • DOI: https://doi.org/10.1007/s10114-015-1765-7

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