If we have a fiber bundle $\pi:M\longrightarrow N$ which M and N be two compact smooth manifolds,is there a fibration on $M$?
If we have a surjective submersion $\pi:M\longrightarrow N$ such that for every $y\in N$ the fibers $\pi^{-1}(y)\subset M$ diffeomorphic on neighborhood of $M$, is there a fibration on $M$?