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Generalized almost paracontact structures Cover

Abstract

The notion of generalized almost paracontact structure on the generalized tangent bundle TMT* 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.

DOI: https://doi.org/10.1515/auom-2015-0004 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 53 - 64
Submitted on: Apr 25, 2014
Accepted on: Jun 29, 2014
Published on: Apr 4, 2017
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 Adara M. Blaga, Cristian Ida, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.