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Left-invariant metrics on a tensor bundle of type (2,0) over a Lie group

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dc.contributor.author Opokina N.
dc.date.accessioned 2018-09-18T20:34:37Z
dc.date.available 2018-09-18T20:34:37Z
dc.date.issued 2013
dc.identifier.issn 1995-0802
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/141311
dc.description.abstract In this paper, vertical and horizontal lifts of left-invariant vector fields are constructed. Necessary and sufficient conditions for the horizontal lift of left-invariant vector fields to be left-invariant field are established. On the basis of a left-invariant metric on G, left-invariant vertical and horizontal distributions and a left-invariant metric g on T0 2G are constructed. © 2013 Pleiades Publishing, Ltd.
dc.relation.ispartofseries Lobachevskii Journal of Mathematics
dc.subject left-invariant metric
dc.subject tensor bundle over a Lie group
dc.subject vertical and horizontal distributions
dc.subject vertical and horizontal lifts
dc.title Left-invariant metrics on a tensor bundle of type (2,0) over a Lie group
dc.type Article
dc.relation.ispartofseries-issue 4
dc.relation.ispartofseries-volume 34
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 384
dc.source.id SCOPUS19950802-2013-34-4-SID84891319246


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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