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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/270715 |
| id |
doaj-ae4f627214094c099b5fc7dee2e3fc33 |
|---|---|
| record_format |
Article |
| spelling |
doaj-ae4f627214094c099b5fc7dee2e3fc332020-11-24T22:53:34ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/270715270715Lie Groupoids and Generalized Contact ManifoldsFulya Şahin0Department of Mathematics, Faculty of Science and Art, Inonu University, 44280 Malatya, TurkeyWe 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.http://dx.doi.org/10.1155/2014/270715 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Fulya Şahin |
| spellingShingle |
Fulya Şahin Lie Groupoids and Generalized Contact Manifolds Abstract and Applied Analysis |
| author_facet |
Fulya Şahin |
| author_sort |
Fulya Şahin |
| title |
Lie Groupoids and Generalized Contact Manifolds |
| title_short |
Lie Groupoids and Generalized Contact Manifolds |
| title_full |
Lie Groupoids and Generalized Contact Manifolds |
| title_fullStr |
Lie Groupoids and Generalized Contact Manifolds |
| title_full_unstemmed |
Lie Groupoids and Generalized Contact Manifolds |
| title_sort |
lie groupoids and generalized contact manifolds |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2014-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2014/270715 |
| work_keys_str_mv |
AT fulyasahin liegroupoidsandgeneralizedcontactmanifolds |
| _version_ |
1725662898771984384 |