Sentence:  In <WSD>symplectic</WSD> geometry, there is a notion of fibrations π : P \rightarrow M with a <WSD>symplectic</WSD> manifold F as fiber, where the structure group is the group of (exact) Hamiltonian symplectomorphisms of the fiber. These are called <WSD>symplectic</WSD> fibrations. If the base manifold (M,\omega_M) is also <WSD>symplectic</WSD>, there is a weak coupling construction, originally due to Thurston, of defining a <WSD>symplectic</WSD> structure on the total space P. 
Meaning of the word marked with <WSD> tags:  Of or pertaining to (the geometry of) a differentiable manifold equipped with a closed nondegenerate bilinear form.