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Forum Mathematicum
Article . 1995 . Peer-reviewed
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CR geometry and Cartan geometry

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1995Publisher:Walter de Gruyter GmbHJournal:Forum Mathematicum, volume 7 (issn: 0933-7741, eissn: 1435-5337, Copyright policy )
Authors: Kuranishi, Masatake;

doi: 10.1515/form.1995.7.147

CR geometry and Cartan geometry

Abstract

The present paper starts with the definition and study of the pre-Cartan structure modeled after a homogeneous space \(G/H\). Then the general procedure of constructing frame principal bundles and consistent Cartan connections starting from a pre-Cartan structure is described. Riemann geometry, conformal geometry and CR geometry of non-degenerate Levi form are treated as pre-Cartan structures. The normal Cartan connections are constructed. The curvature of CR-geometry in terms of the defining equation of the structure is given here.

Related Organizations
Keywords

510.mathematics, CR structures, CR operators, and generalizations, pre-Cartan structure, homogeneous space, Cartan connections, Local differential geometry, frame principal bundles, Article, Connections (general theory)

  • BIP!
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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 6
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Average
Average
Green