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Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting restricted normal Jacobi operators

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Abstract

We give a classification of Hopf real hypersurfaces in complex hyperbolic two-plane Grassmannians SU2,m/S(U2·U m ) with commuting conditions between the restricted normal Jacobi operator \({\bar R_{N\varphi }}\) and the shape operator A (or the Ricci tensor S).

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Authors and Affiliations

  1. Department of Mathematics, Kyungpook National University, 80 Daehak-ro, Buk-gu, Daegu, 702-701, Republic of Korea

    Doo Hyun Hwang & Eunmi Pak

  2. Department of Mathematics Education, Woosuk University, 443 Samnyero, Samnye, 565-701, Wanju, Jeonbuk, Republic of Korea

    Changhwa Woo

Authors
  1. Doo Hyun Hwang
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  2. Eunmi Pak
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  3. Changhwa Woo
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Corresponding author

Correspondence to Doo Hyun Hwang.

Additional information

This work was supported by Grant Proj. No. NRF-2015-R1A2A1A-01002459. The third author is supported by NRF Grant funded by the Korean Government Grant Proj. No. 2017R1C1B1010265.

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Hwang, D.H., Pak, E. & Woo, C. Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting restricted normal Jacobi operators. Czech Math J 67, 989–1004 (2017). https://doi.org/10.21136/CMJ.2017.0289-16

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  • DOI: https://doi.org/10.21136/CMJ.2017.0289-16

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