JOURNAL ARTICLE
流形的浸入和稳定法丛
Year: 1986 Journal: Science in China Series A-Mathematics Physics Astronomy & Technological Science (in Chinese) Vol: 16 (7)Pages: 701-709 Publisher: Science China Press
Abstract
设f:Mm→Nn(m≤n)是任一映射,Mm和Nn是微分流形,S1是T(M)→T(N)的单同态的同伦类的集合,Vf是f的稳定法丛的余维为n-m的标架场的同伦类的集合. 本文证明了:当M的同伦维数≤n-2时,Sf与Vf一一对应,且这一对应与z1(NM,f)的作用交换,这使得我们容易计算Sf(因为对Vf的计算比较有办法),而且得到结论:当M的同伦维数≤n-2时,M→N的浸入的存在和分类仅依赖于M和N的稳定切丛.
Keywords:
Computer science
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Topics
advanced mathematical theories
Physical Sciences → Mathematics → Mathematical Physics
Meromorphic and Entire Functions
Physical Sciences → Mathematics → Applied Mathematics
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