ON THE REFLECTION OF IMMERSIONS IN EUCLIDEAN SPACES

数学物理学报(英文版) ›› 1991, Vol. 11 ›› Issue (3): 301-307.

ON THE REFLECTION OF IMMERSIONS IN EUCLIDEAN SPACES

李邦河¹, U. Kaiser²

1. Inst. of Syst, Sci., Academia Sinica, Beijing, China;
2. Dept. of Math., Univ. of Siegen, Siegen, Germany

收稿日期:1990-12-25 出版日期:1991-09-25 发布日期:1991-09-25
基金资助:
Supported partly by the National Science of China.

ON THE REFLECTION OF IMMERSIONS IN EUCLIDEAN SPACES

Li Banghe¹, U. Kaiser²

1. Inst. of Syst, Sci., Academia Sinica, Beijing, China;
2. Dept. of Math., Univ. of Siegen, Siegen, Germany

Received:1990-12-25 Online:1991-09-25 Published:1991-09-25
Supported by:
Supported partly by the National Science of China.

摘要/Abstract

摘要： We calculate the first obstruction to regular homotopy of an immersion f:Mⁿ→R^n+k into rof for a reflection r of R^n+k. In the case of k=n-1 we give necessary and sufficient conditions for f to be regularly homotopic to rof in terms of obstructions to the existence of a normal vectorfield of f.

李邦河, U. Kaiser. ON THE REFLECTION OF IMMERSIONS IN EUCLIDEAN SPACES[J]. 数学物理学报(英文版), 1991, 11(3): 301-307.

Li Banghe, U. Kaiser. ON THE REFLECTION OF IMMERSIONS IN EUCLIDEAN SPACES[J]. Acta mathematica scientia,Series B, 1991, 11(3): 301-307.

ON THE REFLECTION OF IMMERSIONS IN EUCLIDEAN SPACES

ON THE REFLECTION OF IMMERSIONS IN EUCLIDEAN SPACES

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