IMMERSIONS

作品数：19被引量：12H指数：1
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相关领域：理学自然科学总论更多>>
相关作者：王中良更多>>
相关机构：北京工业大学更多>>
相关期刊：《Science China Mathematics》《Tsinghua Science and Technology》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》更多>>
相关基金：国家自然科学基金更多>>
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Codimension One and Two Immersions of Grassmann Manifolds in Euclidean Spaces
《Chinese Science Bulletin》1993年第2期100-102,共0页唐梓洲 
1 Introduction Let Gm,n be the Grassmann manifold of the unoriented, m-dimensional vector subspaces of the vector space Rm+n. Then Gm,n is a closed, smooth manifold of dimension mn. G<...
关键词：GRASSMANN MANIFOLDS immersion. 
ON EXISTENCE OF HIGHER ORDER IMMERSIONS
《Chinese Science Bulletin》1991年第1期12-16,共5页李贵松 
Ⅰ. INTRODUCTIONThroughout this note, all manifolds are assumed to be smooth and closed. We refer to [1]—[3] for the definitions and basic properties of higher order tangent bundles and pth order nonsingular immersio...
关键词：HIGHER order IMMERSIONS EXISTENCE CODIMENSION n-2. 
CODIMENSION 1 AND 2 IMMERSIONS OF DOLD MANIFOLDS IN EUCLIDEAN SPACES
《Chinese Science Bulletin》1988年第3期182-185,共4页李邦河 
Project supported by the National Nacural Science Foundation of China
Ⅰ. INTRODUCTION Let P(m,n) be the Dold manifolds of dimensions m+2n, then the real and complex projective spaces are special Dold manifolds P(m,0)and P(0, n) respectively. Ucci has obtained a nonimmersion theorem for...
关键词：PROJECTIVE dimensions TRIVIAL bundle sending hence proof preserving nonzero RIEMANNIAN 
IMMERSIONS OF k-CONNECTED CLOSED MANIFOLDS INTO SOME EUCLIDEAN SPACES
《Chinese Science Bulletin》1987年第9期577-580,共4页郭景美 
In this note, we will obtain the following two results:（1） Suppose W is a k-connected closed n-manifold （if k=0, W is orientable）. Let M=（?）, 0≤h≤2k and n-2h≥5. Then any immersion of M into R2n-h-1 can be ext...
关键词：immersion manifold embedding CONNECTED neighborhood simply ORIENT BUNDLE DIFFERENTIABLE sections 
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