Generalized almost paracontact structures

Author:

Blaga Adara M.1,Ida Cristian2

Affiliation:

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

2. Department of Mathematics and Computer science, Transilvania University of Braşov, Bld. Iuliu Maniu 50, 500091 Braşov, Romania .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. CONFORMAL AND PARACONTACTLY GEODESIC TRANSFORMATIONS OF ALMOST PARACONTACT METRIC STRUCTURES;Facta Universitatis, Series: Mathematics and Informatics;2020-04-06

2. Generalized almost contact structures on Lie algebroids;Acta Scientiarum Mathematicarum;2018

3. Generalized almost para-contact manifolds;International Journal of Geometric Methods in Modern Physics;2017-09-13

4. On the Integrability of Generalized Almost para-Norden and para-Hermitian Structures;Mediterranean Journal of Mathematics;2017-07-26

5. Torse-forming η-Ricci solitons in almost paracontact η-Einstein geometry;Filomat;2017

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