| 从R^n到R^3的光滑映射的generic奇点 |
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| 引用本文： | 张国滨,孙伟志.从R^n到R^3的光滑映射的generic奇点[J].数学杂志,1999,19(4):437-440. |
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| 作者姓名： | 张国滨 孙伟志 |
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| 作者单位： | [1]湛江师范学院 [2]东北师范大学 |
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| 摘 要： | 本文的目的在于用微分拓扑的方法讨论从Ｒ＾ｎ到Ｒ＾３的光滑映射的ｇｅｎｅｒｉｃ奇点的分类问题，我们证明这样的映射只有三类奇点：折点，尖点和燕尾点，并给出了它们的标准型。它推广了Ｊ．Ｍａｒｔｉｎｅｔ（１）的结果。
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| 关 键 词： | 奇点 光滑映射 generic奇点 折点 尖点 燕尾点 |
THE GENERIC SINGULARITIES OF SMOOTH MAPS FROM R n TO R 3 |
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| Zhang Guobin.THE GENERIC SINGULARITIES OF SMOOTH MAPS FROM R n TO R 3[J].Journal of Mathematics,1999,19(4):437-440. |
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| Authors: | Zhang Guobin |
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| Abstract: | The aim of this paper is to study the classification problem of generic singularities of smooth maps from R n to R 3. We prove that there are three kinds of singularities of such maps: folds, cusps and swallowtail points, and we give their standard forms. It developes the results of J. Martinet 1]. |
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| Keywords: | topology singularity theory generity |
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