2000/12/12 by Dmitry V. Alekseevsky, Alekseevsky, Dmitry V., Andrea Spiro +2
Mathematics · #Advanced Banach Space Theory #Algebraic and Geometric Analysis #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Holomorphic and Operator Theory #Primary 32V05 #Secondary 53D10 57S25 53C30 #math.CV #math.DG #msc:32V05 #msc:53C30 #msc:53D10 #msc:57S25
paper · pdf · doi:10.48550/arxiv.math/0012097
arxiv created 2000/12/12 · openalex publication_date 2000/12/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.