| A^3中曲面的无穷小等距变形 |
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| 引用本文： | 杨纬隆.A^3中曲面的无穷小等距变形[J].数学杂志,1999,19(3):313-317. |
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| 作者姓名： | 杨纬隆 |
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| 作者单位： | 五邑大学!江门529020 |
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| 摘 要： | 本文讨论了三维仿射空间Ａ＾３中曲面的无穷小等距变形，给出了Ａ＾３中无穷小Ｏ．Ｂｏｎｎｅｔ等距的定义，得到了曲面允许非平凡的无穷小Ｏ．Ｂｏｎｎｅｔ等距变形的一个充要条件。
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| 关 键 词： | 三维 仿射空间 曲面 Bonnet等距 无穷小等距变形 |
ON INFINITESIMAL ISOMETRIC DEFORMATION OF SURFACES IN A~3 |
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| Yang Weilong.ON INFINITESIMAL ISOMETRIC DEFORMATION OF SURFACES IN A~3[J].Journal of Mathematics,1999,19(3):313-317. |
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| Authors: | Yang Weilong |
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| Abstract: | In this paper we discuss the infinitesimal isometric deformation of surfaces in A 3 , we give the definition of infinitesimal O. Bonnet isometry and obtains the necessary and sufficient condition for surfaces to admit non trivial infinitesimal O. Bonnet isometry. |
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| Keywords: | the equiaffine space A 3 surface infinitesimal isometry O Bonnet isometry |
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