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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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.

Original language	English
Pages (from-to)	655-672
Number of pages	18
Journal	Journal of Mathematical Analysis and Applications
Volume	374
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2010.07.008
Publication status	Published - 15 Feb 2011

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10.1016/j.jmaa.2010.07.008

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title = "Classification of homogeneous CR-manifolds in dimension 4",

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.",

keywords = "Automorphism groups of CR-manifolds, CR-geometry, Homogeneous CR-manifolds, Model manifolds",

author = "Beloshapka, {V. K.} and Kossovskiy, {I. G.}",

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AU - Beloshapka, V. K.

AU - Kossovskiy, I. G.

PY - 2011/2/15

Y1 - 2011/2/15

N2 - 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.

AB - 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.

KW - Automorphism groups of CR-manifolds

KW - CR-geometry

KW - Homogeneous CR-manifolds

KW - Model manifolds

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U2 - 10.1016/j.jmaa.2010.07.008

DO - 10.1016/j.jmaa.2010.07.008

M3 - Article

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VL - 374

SP - 655

EP - 672

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Classification of homogeneous CR-manifolds in dimension 4

Abstract

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