Generalized almost paracontact structures

Fuente: arXiv
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Main Authors: Blaga, Adara M., Ida, Cristian
Format: Preprint
Published: 2014
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author Blaga, Adara M.
Ida, Cristian
author_facet Blaga, Adara M.
Ida, Cristian
contents The notion of generalized almost paracontact structure on the generalized tangent bundle $TM\oplus T^*M$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_1401_5629
institution arXiv
publishDate 2014
record_format arxiv
spellingShingle Generalized almost paracontact structures
Blaga, Adara M.
Ida, Cristian
Differential Geometry
The notion of generalized almost paracontact structure on the generalized tangent bundle $TM\oplus T^*M$ 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.
title Generalized almost paracontact structures
topic Differential Geometry
url https://arxiv.org/abs/1401.5629