 This is a contact structure, for the fiber of UT"M" is obviously an integral manifold (the vertical bundle is everywhere in the kernel of θ), and the remaining tangent directions are filled out by moving up the fiber of UT"M".Thus the maximal integral manifold of θ is (an open set of) "M" itself.On a Finsler manifold, the contact form is defined by the analogous formula
where "g""u" is the fundamental tensor (the hessian of the Finsler metric).