<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The notion of generalized almost paracontact structure on the generalized tangent bundle <italic>TM</italic> ⊕ <italic>T* M</italic> is introduced and its properties are investigated. The case when the manifold <italic>M</italic> carries an almost paracontact metric structure is also discussed. Conditions for its transformed under a <italic>β</italic>- or a <italic>B</italic>-field transformation to be also a generalized almost paracontact structure are given. Finally, the normality of a generalized almost paracontact structure is defined and a characterization of a normal generalized almost paracontact structure induced by an almost paracontact one is given.</p></abstract>

The notion of generalized almost paracontact structure on the generalized tangent bundle TM ⊕ T* M is introduced and its properties are investigated. The case when the manifold M carries an almost paracontact metric structure is also discussed. Conditions for its transformed under a β- or a B-field transformation to be also a generalized almost paracontact structure are given. Finally, the normality of a generalized almost paracontact structure is defined and a characterization of a normal generalized almost paracontact structure induced by an almost paracontact one is given.

Generalized almost paracontact structures

Department of Mathematics and Informatics, West University of Timişoara, Bld. V. Pârvan, no. 4, 300223 Timişoara,

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Generalized almost paracontact structures"}

The notion of generalized almost paracontact structure on the generalized tangent bundle TM ⊕ T* M is introduced and its properties are investigated. The case...

Generalized almost paracontact structures

Published Online: Apr 04, 2017

Page range: 53 - 64

Received: Apr 25, 2014

Accepted: Jun 29, 2014

DOI: https://doi.org/10.1515/auom-2015-0004

Keywords
paracontact structure, generalized geometry

© 2015 Adara M. Blaga et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Generalized almost paracontact structures

Published Online: Apr 04, 2017

Page range: 53 - 64

Received: Apr 25, 2014

Accepted: Jun 29, 2014

DOI: https://doi.org/10.1515/auom-2015-0004

Keywordsparacontact structure, generalized geometry

© 2015 Adara M. Blaga et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
paracontact structure, generalized geometry