English

Generalized Sasakian Structures from a Poisson Geometry Point of View

Differential Geometry 2023-06-12 v2 Mathematical Physics math.MP Symplectic Geometry

Abstract

In this paper we define a canonical Poisson structure on a normal generalized contact metric space and use this structure to define a generalized Sasakian structure. We show also that this canonical Poisson structure enables us to distinguish generalized Sasakian structures from generalized coK\"ahler structures.

Keywords

Cite

@article{arxiv.2205.12067,
  title  = {Generalized Sasakian Structures from a Poisson Geometry Point of View},
  author = {Janet Talvacchia},
  journal= {arXiv preprint arXiv:2205.12067},
  year   = {2023}
}

Comments

13 pages. More details and examples added. arXiv admin note: text overlap with arXiv:1710.02881