数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (5): 1245-1261.doi: 10.1016/S0252-9602(16)30067-4

• 论文 • 上一篇    下一篇

THE WEINSTEIN CONJECTURE IN PRODUCT OF SYMPLECTIC MANIFOLDS

丁岩峭, 胡建勋   

  1. Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China
  • 收稿日期:2015-06-23 修回日期:2016-03-21 出版日期:2016-10-25 发布日期:2016-10-25
  • 通讯作者: Yangqiao DING,dingyq6@mail2.sysu.edu.cn E-mail:dingyq6@mail2.sysu.edu.cn
  • 作者简介:Jianxun HU,stsjxhu@mail.sysu.edu.cn
  • 基金资助:

    The second author was partially supported by NSFC (11371381, 11521101).

THE WEINSTEIN CONJECTURE IN PRODUCT OF SYMPLECTIC MANIFOLDS

Yanqiao DING, Jianxun HU   

  1. Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China
  • Received:2015-06-23 Revised:2016-03-21 Online:2016-10-25 Published:2016-10-25
  • Contact: Yangqiao DING,dingyq6@mail2.sysu.edu.cn E-mail:dingyq6@mail2.sysu.edu.cn
  • Supported by:

    The second author was partially supported by NSFC (11371381, 11521101).

摘要:

In this paper, using pseudo-holomorphic curve method, one proves the Weinstein conjecture in the product P1×P2 of two strongly geometrically bounded symplectic manifolds under some conditions with P1. In particular, if N is a closed manifold or a noncompact manifold of finite topological type, our result implies that the Weinstein conjecture in CP2×T*N holds.

关键词: Weinstein conjecture, J-holomorphic sphere, geometrically bounded

Abstract:

In this paper, using pseudo-holomorphic curve method, one proves the Weinstein conjecture in the product P1×P2 of two strongly geometrically bounded symplectic manifolds under some conditions with P1. In particular, if N is a closed manifold or a noncompact manifold of finite topological type, our result implies that the Weinstein conjecture in CP2×T*N holds.

Key words: Weinstein conjecture, J-holomorphic sphere, geometrically bounded

中图分类号: 

  • 53D35