Generalized almost paracontact structures

2014/01/22 by Adara M. Blaga, Blaga, Adara M., Cristian Ida +1
Mathematics · Medicine · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders

paper · doi:10.48550/arxiv.1401.5629

openalex publication_date 2014/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Generalized almost para-contact manifolds
• Generalized complex structures and Lie brackets
• Generalized Complex Geometry

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