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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Main Author: Fulya Şahin
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/270715
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author Fulya Şahin
author_facet Fulya Şahin
author_sort Fulya Şahin
collection DOAJ
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.
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institution Kabale University
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publishDate 2014-01-01
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series Abstract and Applied Analysis
spelling doaj-art-ae4f627214094c099b5fc7dee2e3fc332025-02-03T05:52:41ZengWileyAbstract 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
spellingShingle Fulya Şahin
Lie Groupoids and Generalized Contact Manifolds
Abstract and Applied Analysis
title 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_short Lie Groupoids and Generalized Contact Manifolds
title_sort lie groupoids and generalized contact manifolds
url http://dx.doi.org/10.1155/2014/270715
work_keys_str_mv AT fulyasahin liegroupoidsandgeneralizedcontactmanifolds