Classification of homogeneous CR-manifolds in dimension 4

V.K Beloshapka,I.G Kossovskiy

doi:10.1016/j.jmaa.2010.07.008

Classification of homogeneous CR-manifolds in dimension 4

V.K Beloshapka, I.G Kossovskiy

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https://doi.org/10.1016/j.jmaa.2010.07.008

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Journal: Journal of Mathematical Analysis and Applications	Publication Date: Jul 13, 2010
Citations: 29	License type: publisher-specific-oa

Affiliation: Lomonosov Moscow State University, Australian National University

#Homogeneous CR-manifolds #Classification Theorem

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Abstract

Locally homogeneous CR-manifolds in dimension 3 were classified, up to local CR-equivalence, by E. Cartan. We classify, up to local CR-equivalence, all locally homogeneous CR-manifolds in dimension 4. The classification theorem enables us also to classify all symmetric CR-manifolds in dimension 4, up to local CR-equivalence.

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