Characterization of symplectic forms induced by some tangent G-structures of higher order

Abstract

Let (M, ω) be a symplectic manifold induced by an integrable G-structure P on M . In this paper, we characterize the symplectic manifolds induced by the tangent lifts of higher order r ≥ 1 of G-structure P, from M to TrM .

Keywords

• Complete lifts of differential forms
• prolongations of functions
• vector fields and G-structures