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Compact homogeneous CR manifolds

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Abstract

We classify all compact simply connected homogeneous CR manifolds M of codimension one and with non-degenerate Levi form up to CR equivalence. The classification is based on our previous results and on a description of the maximal connected compact group G(M) of automorphisms of M. We characterize also the standard homogeneous CR manifolds as the homogeneous CR manifolds whose group G(M) in not semisimple.

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Authors and Affiliations

  1. Department of Mathematics, Hull University, Gen. Cottingham Road, HU6 7RX, Hull, England

    Dmitry V. Alekseevsky

  2. Dipartimento di Matematica, Universitá di Camerino, 62032, Camerino, Macerata, Italy

    Andrea F. Spiro

Authors
  1. Dmitry V. Alekseevsky
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  2. Andrea F. Spiro
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Correspondence to Dmitry V. Alekseevsky.

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Communicated by Peter Li

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Alekseevsky, D.V., Spiro, A.F. Compact homogeneous CR manifolds. J Geom Anal 12, 183–201 (2002). https://doi.org/10.1007/BF02922039

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  • DOI: https://doi.org/10.1007/BF02922039

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