English

Generalized almost paracontact structures

Differential Geometry 2025-08-04 v1

Abstract

The notion of generalized almost paracontact structure on the generalized tangent bundle TMTMTM\oplus T^*M is introduced and its properties are investigated. The case when the manifold MM carries an almost paracontact metric structure is also discussed. Conditions for its transformed under a β\beta- or a BB-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.

Keywords

Cite

@article{arxiv.1401.5629,
  title  = {Generalized almost paracontact structures},
  author = {Adara M. Blaga and Cristian Ida},
  journal= {arXiv preprint arXiv:1401.5629},
  year   = {2025}
}
R2 v1 2026-06-22T02:52:08.666Z