Contact Dual Pairs
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866911085929431040 |
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| author | Blaga, Adara Monica Salazar, Maria Amelia Tortorella, Alfonso Giuseppe Vizman, Cornelia |
| author_facet | Blaga, Adara Monica Salazar, Maria Amelia Tortorella, Alfonso Giuseppe Vizman, Cornelia |
| contents | We introduce and study the notion of contact dual pair adopting a line bundle approach to contact and Jacobi geometry. A contact dual pair is a pair of Jacobi morphisms defined on the same contact manifold and satisfying a certain orthogonality condition. Contact groupoids and contact reduction are the main sources of examples. Among other properties, we prove the Characteristic Leaf Correspondence Theorem for contact dual pairs which parallels the analogous result of Weinstein for symplectic dual pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1903_05250 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Contact Dual Pairs Blaga, Adara Monica Salazar, Maria Amelia Tortorella, Alfonso Giuseppe Vizman, Cornelia Differential Geometry Symplectic Geometry 53D10 (Primary), 53D17, 53D20, 58H05 We introduce and study the notion of contact dual pair adopting a line bundle approach to contact and Jacobi geometry. A contact dual pair is a pair of Jacobi morphisms defined on the same contact manifold and satisfying a certain orthogonality condition. Contact groupoids and contact reduction are the main sources of examples. Among other properties, we prove the Characteristic Leaf Correspondence Theorem for contact dual pairs which parallels the analogous result of Weinstein for symplectic dual pairs. |
| title | Contact Dual Pairs |
| topic | Differential Geometry Symplectic Geometry 53D10 (Primary), 53D17, 53D20, 58H05 |
| url | https://arxiv.org/abs/1903.05250 |