• Title/Summary/Keyword: Hamiltonial diffeomorphism

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ON ACTION SPECTRUM BUNDLE

  • Cho, Yong-Seung;Yoon, Jin-Yue
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.4
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    • pp.741-751
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    • 2001
  • In this paper when $(M, \omega)$ is a compact weakly exact symplectic manifold with nonempty boundary satisfying $c_1|{\pi}_2(M)$ = 0, we construct an action spectrum bundle over the group of Hamil-tonian diffeomorphisms of the manifold M generated by the time-dependent Hamiltonian vector fields, whose fibre is nowhere dense and invariant under symplectic conjugation.

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