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Contact and non-contact type Hamiltonian systems generated by second-order Lagrangians
Published online by Cambridge University Press: 28 November 2006
Abstract
We show that some very naturally occurring energy manifolds that are induced by second-order Lagrangians $L =L(u,u',u'')$ are not, in general, of contact type in $(\mathbb{R}^4,\omega)$. 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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- 2006 Cambridge University Press
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