Natural transformations of vector fields on manifolds to vector fields on tangent bundles
نویسندگان
چکیده
منابع مشابه
Second order hamiltonian vector fields on tangent bundles
Let M be a differentiable manifold. A vector field Γ of TM which corresponds to a system of second order ordinary differential equations on M is called a second order Hamiltonian vector field if it is the Hamiltonian field of a function F ∈ C∞(TM) with respect to a Poisson structure P of TM . We formulate the direct problem as that of finding Γ if P is given, and the inverse problem as that of ...
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ژورنال
عنوان ژورنال: Tsukuba Journal of Mathematics
سال: 1988
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1496160639