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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 270715, 8 pages
Research Article

Lie Groupoids and Generalized Contact Manifolds

Department of Mathematics, Faculty of Science and Art, Inonu University, 44280 Malatya, Turkey

Received 4 December 2013; Revised 3 June 2014; Accepted 5 June 2014; Published 23 June 2014

Academic Editor: Jaume Giné

Copyright © 2014 Fulya Şahin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.