FIXED POINTS THEORY ON CLOSED 3-DIMENSIONAL MANIFOLDS
FIXED POINTS THEORY ON CLOSED 3-DIMENSIONAL MANIFOLDS
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发表时间：
2000
影响因子：
0.6
通讯作者：
E. Kang
中科院分区：
文献类型：
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作者：
E. Kang
设f：M长右行M是闭曲面M的同伦周期自映射，除M=外，自映射f的Nielsen数N(F)和Lefschetz数L(F)相同。这是Kwasik和Lee的结果在二维情况下的推广。在2-球面上，对任意自映射f：long right tarrow，N(F)=1，且L(F)=deg(F)+1。
Let f : M longrightarrow M be a homotopically periodic self-map of a closed surface M. Except for M = , the Nielsen number N(f) and the Lefschetz number L(f) of the self-map f are the same. This is a generalization of Kwasik and Lee's result to 2-dimensional case. On the 2-sphere , N(f) = 1 and L(f) = deg(f) + 1 for any self-map f : longrightarrow.