KFU. Card publication. Transverse Lie jets and holomorphic geometric objects on transverse bundles

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TRANSVERSE LIE JETS AND HOLOMORPHIC GEOMETRIC OBJECTS ON 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

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.

Annotation

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.

Keywords

Weil algebra, geometric object, Lie jet, Weil bundle, transverse bundle

The name of the journal

Russian Mathematics

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84971222717&partnerID=40&md5=dafb29079ecc0add5ef9f0555ea68d82

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

https://repository.kpfu.ru/eng/?p_id=136051&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	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/eng/?p_id=136051&p_lang=2	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	Articles in international journals and collections	ru_RU