Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (4): 557-563.

• Articles • Previous Articles    

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

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

CLC Number: 

  • 53D
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