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Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka–Webster D-parallel shape operator

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Abstract

In this paper, we consider a new notion of generalized Tanaka–Webster D-parallel shape operator for a real hypersurface in a complex two-plane Grassmannian and prove a non-existence theorem of a real hypersurface.

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Authors and Affiliations

  1. Research Institute of Real & Complex Manifolds, Kyungpook National University, Daegu, 41566, Republic of Korea

    Hyunjin Lee

  2. Department of Mathematics, Kyungpook National University, Daegu, 41566, Republic of Korea

    Eunmi Pak & Young Jin Suh

Authors
  1. Hyunjin Lee
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  2. Eunmi Pak
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  3. Young Jin Suh
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Correspondence to Hyunjin Lee.

Additional information

The first and second authors were supported by National Research Foundation of Korea (NRF) (Grant Nos. 2012-R1A1A3002031 and 2015-R1A2A1A-01002459); the third author was supported by KNU 2015 (Bokhyun) Research Fund

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Lee, H., Pak, E. & Suh, Y.J. Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka–Webster D-parallel shape operator. Acta. Math. Sin.-English Ser. 33, 61–70 (2017). https://doi.org/10.1007/s10114-016-4738-6

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  • DOI: https://doi.org/10.1007/s10114-016-4738-6

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