Acta mathematica scientia,Series B ›› 2016, Vol. 36 ›› Issue (5): 1245-1261.doi: 10.1016/S0252-9602(16)30067-4

• Articles • Previous Articles     Next Articles

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).

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

CLC Number: 

  • 53D35
Trendmd