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Groups acting transitively on compact CR manifolds of hypersurface type

Author(s): Andrea Spiro
Journal: Proc. Amer. Math. Soc. 128 (2000), 1141-1145.
MSC (1991): Primary 32C16; Secondary 53C30, 57S26
Posted: August 5, 1999
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Abstract: Let be a compact homogeneous manifold with acting effectively and with a -invariant CR structure of hypersurface type; then any maximal compact subgroup $K\subset G$ acts transitively on .

References:

[Al]: D. V. Alekseevsky, Contact homogeneous spaces, Engl. transl. in. Funct. Anal. Appl. 24 (4) (1991), 324-325, MR 91j:53027
[AHR]: H. Azad, A. Huckleberry and W. Richthofer, Homogeneous CR manifolds, J. Reine und Angew. Math. 358 (1985), 125-154. MR 87g:32035
[AS]: D. V. Alekseevsky and A. F. Spiro, Invariant CR structures on compact homogeneous manifolds, preprint.
[Mon]: D. Montgomery, Simply Connected Homogeneous spaces, Proc. A.M.S. 1 (1950), 467-469. MR 12:242c


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