| MA Renyi.[J].数学年刊A辑,1999,20(4):425~434 |
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| THE EXISTENCE OF {\tf J}-HOLOMORPHIC CURVES ANDAPPLICATIONS TO THE WEINSTEIN CONJECTURE |
| Received:July 02, 1998 Revised:April 19, 1999 |
| DOI： |
| 中文关键词: |
| 英文关键词:Symplectic geometry, $J$-holomorphic curves, Periodic
orbit |
| 基金项目: |
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| 中文摘要: |
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| 英文摘要: |
| 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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