The existence of J-holomorphic curves and applications to the Weinstein conjecture

被引：0
|
作者：
Ma, RY [1 ]
机构：
[1] Tsinghua Univ, Dept Appl Math, Beijing 100084, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 1999年 / 20卷 / 04期
关键词：
symplectic geometry; J-holomorphic curves; periodic orbit;
D O I：
10.1142/S0252959999000497
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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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页码：425 / 434
页数：10
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