关于Poincare-Birkhoff扭转定理的探讨  

Poincare-Birkhoff Theorem for Twistmap

作　　者：郑承民[1] 

机构地区：[1]新疆师范大学数理信息学院,新疆乌鲁木齐830054

出　　处：《石河子大学学报（自然科学版）》2006年第3期372-373,共2页Journal of Shihezi University(Natural Science)

摘　　要：本文主要是对Poincare-Birkhoff扭转定理进行探讨,对扭转映射的连续性条件做了改进,给出非保面积部分扭转映射至少有一个不动点,而非保面积扭转映射至少有2个不动点的结论。In the paper,Poincare-Birkhoff twisting theorem is primarily studied.Amending the condition of continuousness,the partly twisting T-map has at least one fixed point and the twisting T-map has at least two fixed points,which are not necessarily an area-preserving homomorphism.

关 键 词：扭转映射 不动点 部分扭转映射 

分 类 号：O189.11[理学—数学]