Some Properties of Symplectic Manifolds S on the Projective Tangent Bundle PTM
In this paper, we show the relationship between 2-form of the two projective tangent bundle and the relationship between 2-form on projective tangent bundle and 1-form on by using the theory of fiber bundle and the properties of symplectic manifold of the projective tangent bundle . Moreover, we derived a simpler formula of Lie derivative of a special vector field, which is on the projective tangent bundle.
Y. He et al., "Some Properties of Symplectic Manifolds S on the Projective Tangent Bundle PTM", Advanced Materials Research, Vol. 187, pp. 483-486, 2011