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Contact hypersurfaces and CR-symmetry

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Abstract

We show that the contact \((k,\mu )\)-spaces whose Boeckx invariant is \(\ne 1\) are realized as real hypersurfaces of the complex quadric \(Q^n\) and its non-compact dual \(Q^{n*}\). Then, we classify simply connected, complete, non-K-contact, CR-symmetric contact metric spaces by real hypersurfaces in Hermitian symmetric spaces.

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Authors and Affiliations

  1. Department of Mathematics, Chonnam National University, Gwangju, 61186, Korea

    Jong Taek Cho

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  1. Jong Taek Cho
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Correspondence to Jong Taek Cho.

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This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2019R1F1A1040829).

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Cho, J.T. Contact hypersurfaces and CR-symmetry. Annali di Matematica 199, 1873–1884 (2020). https://doi.org/10.1007/s10231-020-00946-x

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  • DOI: https://doi.org/10.1007/s10231-020-00946-x

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