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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 1, Pages 107–123 (Mi smj2292)  
This article is cited in 5 scientific papers (total in 5 papers)

Invariant affinor metric structures on Lie groups

E. S. Kornev

Kemerovo State University, Faculty of Mathematics, Kemerovo
Full-text PDF (338 kB) Citations (5)
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Abstract: We introduce the class of special metric structures on Lie groups which are connected with the radical of a fixed 1-form on a Lie group. These structures are called affinor metric structures. We introduce and study some special classes of invariant affinor metric structures and generalize many results of the theory of contact metric structures on Lie groups.
Keywords: left-invariant metric, affinor, radical of a 1-form, Lie group.
Received: 11.11.2009
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 1, Pages 87–99
DOI: https://doi.org/10.1134/S0037446612010077
Bibliographic databases:
Document Type: Article
UDC: 514.765
Language: Russian
Citation: E. S. Kornev, “Invariant affinor metric structures on Lie groups”, Sibirsk. Mat. Zh., 53:1 (2012), 107–123; Siberian Math. J., 53:1 (2012), 87–99
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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