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| THE EXISTENCE OF J-HOLOMORPHIC CURVES AND APPLICATIONS TO THE WEINSTEIN CONJECTURE |
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Citation： |
MA Renyi.THE EXISTENCE OF J-HOLOMORPHIC CURVES AND APPLICATIONS TO THE WEINSTEIN CONJECTURE[J].Chinese Annals of Mathematics B,1999,20(4):425~434 |
| Page view： 1170
Net amount： 839 |
Authors： |
MA Renyi; |
Foundation： |
Project supported by the National Natural Science
Foundation of China (No. 19871044 and C-19501024 |
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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. |
Keywords： |
Symplectic geometry, $J$-holomorphic curves, Periodic
orbit |
Classification： |
58F, 58G, 53C |
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