КФУ. Карточка публикации. Lifts of Foliated Linear Connections to the Second Order Transverse Bundles

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LIFTS OF FOLIATED LINEAR CONNECTIONS TO THE SECOND ORDER TRANSVERSE BUNDLES

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2016

Язык

английский

Авторы, сотрудники КФУ

Зубкова Светлана Константиновна, автор

Шурыгин Вадим Васильевич, автор

Библиографическое описание на языке оригинала

Vadim V. Shurygin, Svetlana K. Zubkova, Lifts of Foliated Linear Connections to the Second Order Transverse Bundles, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 55, 1 (2016) 111-120.

Аннотация

The second order transverse bundle T^2_trM of a foliated manifold M carries a natural structure of a smooth manifold over the algebra D^2 of truncated polynomials of degree two in one variable. Prolongations of foliated mappings to second order transverse bundles are a partial case of more general D^2-smooth foliated mappings between second order transverse bundles. We establish necessary and sufficient conditions under which a D^2-smooth foliated dieomorphism between two second order transverse bundles maps the lift of a foliated linear connection into the lift of a foliated linear connection.

Ключевые слова

Foliation, transverse bundle, second order transverse bundle, projectable linear connection, Lie derivative, Weil bundle.

Название журнала

Acta Universitatis Palackianae Olomucensis, Facultas rerum naturalium, Mathematica

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https://repository.kpfu.ru/?p_id=148452

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	Vadim V. Shurygin, Svetlana K. Zubkova, Lifts of Foliated Linear Connections to the Second Order Transverse Bundles, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 55, 1 (2016) 111-120.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=148452	ru_RU
dc.description.abstract	Acta Universitatis Palackianae Olomucensis, Facultas rerum naturalium, Mathematica	ru_RU
dc.description.abstract	The second order transverse bundle T^2_trM of a foliated manifold M carries a natural structure of a smooth manifold over the algebra D^2 of truncated polynomials of degree two in one variable. Prolongations of foliated mappings to second order transverse bundles are a partial case of more general D^2-smooth foliated mappings between second order transverse bundles. We establish necessary and sufficient conditions under which a D^2-smooth foliated dieomorphism between two second order transverse bundles maps the lift of a foliated linear connection into the lift of a foliated linear connection.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Foliation	ru_RU
dc.subject	transverse bundle	ru_RU
dc.subject	second order transverse bundle	ru_RU
dc.subject	projectable linear connection	ru_RU
dc.subject	Lie derivative	ru_RU
dc.subject	Weil bundle.	ru_RU
dc.title	Lifts of Foliated Linear Connections to the Second Order Transverse Bundles	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU