Lie Groupoids and Generalized Contact Manifolds
We investigate relationships between Lie groupoids and generalized almost contact manifolds. We first relate the notions of integrable Jacobi pairs and contact groupoids on generalized contact manifolds, and then we show that there is a one to one correspondence between linear operators and multipl...
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/270715 |
| Summary: | We investigate relationships between Lie groupoids and generalized
almost contact manifolds. We first relate the notions of integrable Jacobi pairs
and contact groupoids on generalized contact manifolds, and then we show that
there is a one to one correspondence between linear operators and multiplicative
forms satisfying Hitchin pair. Finally, we find equivalent conditions among the
integrability conditions of generalized almost contact manifolds, the condition of
compatibility of source, and target maps of contact groupoids with contact form
and generalized contact maps. |
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| ISSN: | 1085-3375 1687-0409 |