Generalized Sasakian Structures from a Poisson Geometry Point of View

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 coKähler structures.

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