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Classification of homogeneous CR-manifolds in dimension 4

Beloshapka, V.K.; Kossovskiy, Ilya

Description

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.

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
URI: http://hdl.handle.net/1885/65010
Source: Journal of Mathematical Analysis and Applications
DOI: 10.1016/j.jmaa.2010.07.008

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