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.

引用

页码：425 / 434

页数：10

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