Riemannian geometry of Lie algebroids
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.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-04-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X11000125 |
| _version_ | 1818306680081874944 |
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| author | Mohamed Boucetta |
| author_facet | Mohamed Boucetta |
| author_sort | Mohamed Boucetta |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T06:46:20Z |
| format | Article |
| id | doaj.art-3710d5cf7e6340d9bf606ff02c0a2e48 |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-13T06:46:20Z |
| publishDate | 2011-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-3710d5cf7e6340d9bf606ff02c0a2e482022-12-21T23:56:16ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2011-04-01191577010.1016/j.joems.2011.09.009Riemannian geometry of Lie algebroidsMohamed BoucettaWe 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.http://www.sciencedirect.com/science/article/pii/S1110256X11000125Lie algebroidsLie groupoidsRiemannian metrics |
| spellingShingle | Mohamed Boucetta Riemannian geometry of Lie algebroids Journal of the Egyptian Mathematical Society Lie algebroids Lie groupoids Riemannian metrics |
| title | Riemannian geometry of Lie algebroids |
| title_full | Riemannian geometry of Lie algebroids |
| title_fullStr | Riemannian geometry of Lie algebroids |
| title_full_unstemmed | Riemannian geometry of Lie algebroids |
| title_short | Riemannian geometry of Lie algebroids |
| title_sort | riemannian geometry of lie algebroids |
| topic | Lie algebroids Lie groupoids Riemannian metrics |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X11000125 |
| work_keys_str_mv | AT mohamedboucetta riemanniangeometryofliealgebroids |