On a class of symmetric CR manifolds

A Lotta,M Nacinovich

doi:10.1016/j.aim.2004.03.005

On a class of symmetric CR manifolds

A Lotta, M Nacinovich

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https://doi.org/10.1016/j.aim.2004.03.005

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Journal: Advances in Mathematics	Publication Date: May 11, 2004
Citations: 14	License type: publisher-specific-oa

Affiliation: Polytechnic University of Bari, University of Bari Aldo Moro, University of Rome Tor Vergata

#Symmetric CR #Invariant Metrics + Show 8 more

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Abstract

We study and classify a large class of minimal orbits in complex flag manifolds for the holomorphic action of a real Lie group. These orbits are all symmetric CR spaces for the restriction of a suitable class of Hermitian invariant metrics on the ambient flag manifold. As a particular case we obtain that the standard compact homogeneous CR manifolds associated with semisimple Levi–Tanaka algebras are symmetric CR-spaces.

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