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Groups acting transitively
on compact CR manifolds of hypersurface type


Author: Andrea Spiro
Journal: Proc. Amer. Math. Soc. 128 (2000), 1141-1145
MSC (1991): Primary 32C16; Secondary 53C30, 57S26
DOI: https://doi.org/10.1090/S0002-9939-99-05113-8
Published electronically: August 5, 1999
Erratum: Proc. Amer. Math. Soc. 86 (1982), 188.
MathSciNet review: 1637432
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Abstract | References | Similar Articles | Additional Information

Abstract: Let $M=G/L$ be a compact homogeneous manifold with $G$ acting effectively and with a $G$-invariant CR structure of hypersurface type; then any maximal compact subgroup $K\subset G$ acts transitively on $M$.


References [Enhancements On Off] (What's this?)

  • [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.
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Additional Information

Andrea Spiro
Affiliation: Dipartimento di Matematica, Università di Ancona, 60131 Ancona, Italy
Email: spiro@anvax1.unian.it

DOI: https://doi.org/10.1090/S0002-9939-99-05113-8
Keywords: Homogeneous CR manifolds, real hypersurfaces, actions of compact Lie groups
Received by editor(s): December 30, 1997
Received by editor(s) in revised form: June 5, 1998
Published electronically: August 5, 1999
Communicated by: Leslie Saper
Article copyright: © Copyright 2000 American Mathematical Society

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