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 |
|