Abstract:
Let P be a compact smooth manifold equipped with a free S1-structure and let Sigma in T*P be a compact hypersurface which is invariant under the induced S1-action on T*P and bounds a neighbourhood of the 0-section. In addition, Sigma is assumed to be of contact type where the corresponding contact 1-form is related to the canonical Liouville form. Then Sigma is shown to carry at least 1+cuplength(P / S1) geometrically distinct closed characteristics that coincide with S1-orbits on T*P. If, moreover, all these particular closed characteristics on Sigma are non-degenerate then their number is greater or equal to the sum of the Betti numbers of P / S1.
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