Codimension One and Two Immersions of Grassmann Manifolds in Euclidean Spaces  

Codimension One and Two Immersions of Grassmann Manifolds in Euclidean Spaces

作  者:唐梓洲 

机构地区:[1]Department of Mathematics, Graduate School, Academia Sinica, Beijing 100039 PRC

出  处:《Chinese Science Bulletin》1993年第2期100-102,共0页

摘  要:1 Introduction Let G<sub>m,n</sub> be the Grassmann manifold of the unoriented, m-dimensional vector subspaces of the vector space R<sup>m+n</sup>. Then G<sub>m,n</sub> is a closed, smooth manifold of dimension mn. G<sub>m,n</sub>≌G<sub>n,m</sub>, and G<sub>1,n</sub>≌G<sub>n,1</sub> is just the real projective space RP<sup>n</sup>. For convenience, we assume that m≤n. Suppose M<sup>p</sup>R<sup>q</sup> means that the p-dimensional manifold M<sup>p</sup> is immersed in q-

关 键 词:GRASSMANN MANIFOLDS immersion. 

分 类 号:N[自然科学总论]

 

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