数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (4): 557-563.

• 论文 • 上一篇    

THE WEINSTEIN CONJECTURE ON C1-SMOOTH HYPERSURFACE OF CONTACT TYPE

 卢广存   

  1. Department of Mathematics, Beijing Normal University, Beijing 100875, China
  • 出版日期:2002-10-14 发布日期:2002-10-14
  • 基金资助:

    Supported by the NNSF of China(19971045)and the MCF of Chinese University

THE WEINSTEIN CONJECTURE ON C1-SMOOTH HYPERSURFACE OF CONTACT TYPE

 Lu Guang-Cun   

  1. Department of Mathematics, Beijing Normal University, Beijing 100875, China
  • Online:2002-10-14 Published:2002-10-14
  • Supported by:

    Supported by the NNSF of China(19971045)and the MCF of Chinese University

摘要:

In this note a symplectic capacity of Hofer-Zehnder type that is only invariant under C1-symplectomorphisms is defined and all computation formulae for Hofer-Zehnder symplectic capacity obtained at present are proved still holding for it. As a consequence some results on Weinstein conjecture are generalized to C1-smooth hypersurface of contact type.

关键词: Hofer-Zehnder symplectic capacity, Weinstein conjecture

Abstract:

In this note a symplectic capacity of Hofer-Zehnder type that is only invariant under C1-symplectomorphisms is defined and all computation formulae for Hofer-Zehnder symplectic capacity obtained at present are proved still holding for it. As a consequence some results on Weinstein conjecture are generalized to C1-smooth hypersurface of contact type.

Key words: Hofer-Zehnder symplectic capacity, Weinstein conjecture

中图分类号: 

  • 53D