The fixed points of exact symplectomorphisms  

The fixed points of exact symplectomorphisms

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作  者:卢广存 

机构地区:[1]Nankai Institute of Mathematics, Nankai University, Tianjin 300071, China

出  处:《Chinese Science Bulletin》1995年第3期190-191,共2页

摘  要:Theorem Let (M<sub>j</sub>,ω<sub>j</sub>) be the 4-dimensional connect closed symplectic manifolds with c<sub>1</sub>(M<sub>j</sub>) =0, j= 1,…, k, and (P, ω) the closed symplectic manifold with ω|π<sub>2</sub>(p)=0. Then every exact symplectomorphism on (M<sub>1</sub>×…× M<sub>k</sub>×p, ω<sub>1</sub>×…ω<sub>k</sub>×ω) has at least a fixed point.<正> Theorem Let (Mj,ωj) be the 4-dimensional connect closed symplectic manifolds with c1(Mj) =0, j= 1,…, k, and (P, ω) the closed symplectic manifold with ω|π2(p)=0. Then every exact symplectomorphism on (M1×…× Mk×p, ω1×…ωk×ω) has at least a fixed point.

关 键 词:EXACT symplectomorphisn ARNOLD conjecture. 

分 类 号:O211[理学—概率论与数理统计]

 

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