KFU. Card publication. Lifts of Foliated Linear Connections to the Second Order Transverse Bundles

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FEDERAL UNIVERSITY

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LIFTS OF FOLIATED LINEAR CONNECTIONS TO THE SECOND ORDER TRANSVERSE BUNDLES

Form of presentation

Articles in international journals and collections

Year of publication

2016

Язык

английский

Authors, employees of KFU

Zubkova Svetlana Konstantinovna, author

Shurygin Vadim Vasilevich, author

Bibliographic description in the original language

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.

Annotation

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.

Keywords

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

The name of the journal

Acta Universitatis Palackianae Olomucensis, Facultas rerum naturalium, Mathematica

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=148452&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Zubkova Svetlana Konstantinovna	ru_RU
dc.contributor.author	Shurygin Vadim Vasilevich	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/eng/?p_id=148452&p_lang=2	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	Articles in international journals and collections	ru_RU