n 个流形的积流形的证明

doi:10.16039/j.cnki.cn22-1249.2018.03.015

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摘要乘积流形是微分拓扑学的一个重要概念，是对两个微分流形的拓扑乘积空间上给出适当的微分
构造使之成为微分流形的一般方法．大多数积流形的定理只证明了 2 个微分流形的积流形．那么对于 n
个微分流形，是否也能证明它们的积流形．文章证明了 n 个微分流形的积流形的定理.

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	米雅薇

关键词: 积流形微分流形 n 个积流形

Abstract: In differential geometry， we learned that what is product manifold．Most product manifold theorem
proved only two differential manifold product manifold． So for n differential manifold， whether also can prove
that their product manifold article proves the product n differential manifold theorem of the manifold．

Key words: product manifold differential manifold n product manifold

出版日期: 2018-03-25 发布日期: 2018-03-25 整期出版日期: 2018-03-25

:	53C15
	58A05
	58C25

引用本文:

米雅薇. n 个流形的积流形的证明[J]. 吉林化工学院学报, 2018, 35(3): 64-66.
MI Ya-wei. Proof of the Manifold of n Manifold. Journal of Jilin Institute of Chemical Technology, 2018, 35(3): 64-66.

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https://xuebao.jlict.edu.cn/CN/10.16039/j.cnki.cn22-1249.2018.03.015 或 https://xuebao.jlict.edu.cn/CN/Y2018/V35/I3/64

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