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387177

Riemannian geometry of Lie algebroids

Article

Last updated: 31 Dec 2024

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Tags

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Abstract

We introduce Riemannian Lie algebroids as a generalization of Riemannian manifolds and we show that most of the classical tools and results known in Riemannian geometry can be stated in this setting. We give also some new results on the integrability of Riemannian Lie algebroids.

DOI

10.1016/j.joems.2011.09.009

Keywords

Lie algebroids, Lie groupoids, Riemannian metrics

Authors

First Name

Mohamed

Last Name

Boucetta

MiddleName

-

Affiliation

Faculty of Sciences and Technology, Cadi-Ayyad University, BP 549 Marrakech, Morocco

Email

mboucetta2@yahoo.fr

City

-

Orcid

-

Volume

19

Article Issue

1

Related Issue

50532

Issue Date

2011-06-01

Receive Date

2024-10-20

Publish Date

2011-06-01

Page Start

57

Page End

70

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_387177.html

Detail API

https://joems.journals.ekb.eg/service?article_code=387177

Order

387,177

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Riemannian geometry of Lie algebroids

Details

Type

Article

Created At

21 Dec 2024