THE EXISTENCE OF J-HOLOMORPHIC CURVES AND APPLICATIONS TO THE WEINSTEIN CONJECTURE

作     者：MA RENYI(Department of Applied Mathmatics, Tsinghua University, Beijing 100084, China) MA RENYI(Department of Applied Mathmatics, Tsinghua University, Beijing 100084, China)

作者机构：Department of Applied Mathmatics Tsinghua University Beijing 100084 China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：1999年第20卷第4期

页      面：425-434页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：国家自然科学基金 

主　　题：辛几何 存在性 J-全纯曲面 应用软件 周期轨道 

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.