Embedding Periodic Maps on Surfaces into Those on S-3 | |
Guo, Yu ; Wang, Chao ; Wang, Shicheng ; Zhang, Yimu | |
2015 | |
关键词 | Symmetry of surface Symmetry of 3-sphere Extendable action |
英文摘要 | Call a periodic map h on the closed orientable surface Sigma(g) extendable if h extends to a periodic map over the pair (S-3, Sigma(g)) for possible embeddings e : Sigma(g) -> S-3. The authors determine the extendabilities for all periodical maps on Sigma(2). The results involve various orientation preserving/reversing behalves of the periodical maps on the pair (S-3, Sigma(g)). To do this the authors first list all periodic maps on Sigma(2), and indeed the authors exhibit each of them as a composition of primary and explicit symmetries, like rotations, reflections and antipodal maps, which itself should be interesting. A by-product is that for each even g, the maximum order periodic map on Sigma(g) is extendable, which contrasts sharply with the situation in the orientation preserving category.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000351641100001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics; SCI(E); 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 0; 2; 161-180; 36 |
语种 | 英语 |
出处 | SCI |
出版者 | chinese annals of mathematics series b |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/314198] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Guo, Yu,Wang, Chao,Wang, Shicheng,et al. Embedding Periodic Maps on Surfaces into Those on S-3. 2015-01-01. |
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