The existence of \(J\)-holomorphic curves and applications to the Weinstein conjecture (Q1976628)

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scientific article; zbMATH DE number 1445794
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The existence of \(J\)-holomorphic curves and applications to the Weinstein conjecture
scientific article; zbMATH DE number 1445794

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    The existence of \(J\)-holomorphic curves and applications to the Weinstein conjecture (English)
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    26 October 2000
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    This paper deals with the existence of \(J\)-holomorphic curves in the symplectizations of Legendre fibrations and the Weinstein conjecture on contact manifolds of Legendre fibrations. The author presents a new proof on the well-known Lyusternik-Fet Theorem without using the classical minimax principle.
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    \(J\)-holomorphic curve
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    Legendre fibrations
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    Weinstein conjecture
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    minimax principle
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