Contact and non-contact type Hamiltonian systems generated by second-order Lagrangians
نویسندگان
چکیده
We show that some very naturally occurring energymanifolds that are induced by second-order Lagrangians L = L(u, u′, u′′) are not, in general, of contact type in (R4, ω). We also comment on the more general question whether there exist any contact forms on these energy manifolds for which the associated Reeb vector field coincides with the Hamiltonian vector field.
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