THE EXISTENCE OF {\tf J}-HOLOMORPHIC CURVES AND
APPLICATIONS TO THE WEINSTEIN CONJECTURE |
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Authors: | MA Renyi |
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Institution: | Department of Applied Mathmatics, Tsinghua University,
Beijing 100084, China |
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Abstract: | The author first proves the existences of $J-$holomorphic curves in
the symplectizations of Legendre fibrations and then as
an application confirms the Weinstein conjectures
on contact manifolds of Legendre fibrations. As a corollary,
a new proof on the theorem due to Hofer, Viterbo, Gluck, Ziller,
Weinstein and Ljusternik-Fet Theorem is provided, which
is quite different from their original proofs. |
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Keywords: | Symplectic geometry $J$-holomorphic curves Periodic
orbit |
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