Form of presentation | Articles in international journals and collections |
Year of publication | 2016 |
Язык | английский |
|
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 ![](https://shelly.kpfu.ru/pdf/picture/arrow_black_right.gif) |
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 |
|