| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2016 |
| Язык | английский |
|
Зубкова Светлана Константиновна, автор
Шурыгин Вадим Васильевич, автор
|
| Библиографическое описание на языке оригинала |
Zubkova S.K, Shurygin V.V., Transverse Lie jets and holomorphic geometric objects on transverse bundles//Russian Mathematics. - 2016. - Vol.60, Is.5. - P.70-74. |
| Аннотация |
Two holomorphic fields of geometric objects on a transverse Weil bundle are called equivalent if there exists a holomorphic diffeomorphism of this bundle onto itself which induces the identity transformation of the base manifold and maps one of these fields into the other. In terms of transverse Lie jets, we establish necessary and sufficient conditions for a holomorphic field of geometric objects on a transverse Weil bundle to be equivalent to the prolongation of a field of foliated geometric objects given on the base manifold. As an example, we consider a holomorphic linear connection on a transverse bundle. |
| Ключевые слова |
Weil algebra, geometric object, Lie jet, Weil bundle, transverse bundle |
| Название журнала |
Russian Mathematics
|
| URL |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84971222717&partnerID=40&md5=dafb29079ecc0add5ef9f0555ea68d82 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=136051 |
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Зубкова Светлана Константиновна |
ru_RU |
| dc.contributor.author |
Шурыгин Вадим Васильевич |
ru_RU |
| dc.date.accessioned |
2016-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2016-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2016 |
ru_RU |
| dc.identifier.citation |
Zubkova S.K, Shurygin V.V., Transverse Lie jets and holomorphic geometric objects on transverse bundles//Russian Mathematics. - 2016. - Vol.60, Is.5. - P.70-74. |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=136051 |
ru_RU |
| dc.description.abstract |
Russian Mathematics |
ru_RU |
| dc.description.abstract |
Two holomorphic fields of geometric objects on a transverse Weil bundle are called equivalent if there exists a holomorphic diffeomorphism of this bundle onto itself which induces the identity transformation of the base manifold and maps one of these fields into the other. In terms of transverse Lie jets, we establish necessary and sufficient conditions for a holomorphic field of geometric objects on a transverse Weil bundle to be equivalent to the prolongation of a field of foliated geometric objects given on the base manifold. As an example, we consider a holomorphic linear connection on a transverse bundle. |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
Weil algebra |
ru_RU |
| dc.subject |
geometric object |
ru_RU |
| dc.subject |
Lie jet |
ru_RU |
| dc.subject |
Weil bundle |
ru_RU |
| dc.subject |
transverse bundle |
ru_RU |
| dc.title |
Transverse Lie jets and holomorphic geometric objects on transverse bundles |
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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