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Contact and non-contact type Hamiltonian systems generated by second-order Lagrangians

  • S. B. ANGENENT (a1), J. B. VAN DEN BERG (a2) and R. C. A. M. VANDERVORST (a2)

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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Contact and non-contact type Hamiltonian systems generated by second-order Lagrangians

  • S. B. ANGENENT (a1), J. B. VAN DEN BERG (a2) and R. C. A. M. VANDERVORST (a2)

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