THE WEINSTEIN CONJECTURE ON C^1-SMOOTH HYPERSURFACE OF CONTACT TYPE  

作　　者：卢广存 

出　　处：《Acta Mathematica Scientia》2002年第4期557-563,共7页数学物理学报（B辑英文版）

基　　金：Supported by the NNSF of China(19971045); the MCF of Chinese University

摘　　要：In this note a symplectic capacity of Hofer-Zehnder type that is only invariant under C-1-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 C-1-smooth hypersurface of contact type.In this note a symplectic capacity of Hofer-Zehnder type that is only invariant under C-1-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 C-1-smooth hypersurface of contact type.

关 键 词：Hofer-Zehnder symplectic capacity Weinstein conjecture 

分 类 号：O186.1[理学—数学]