| 一个利用矩阵整体推导曲面结构方程的方法 |
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| 引用本文： | 谢琳,安扬. 一个利用矩阵整体推导曲面结构方程的方法[J]. 辽宁师范大学学报(自然科学版), 2007, 30(3): 262-264 |
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| 作者姓名： | 谢琳 安扬 |
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| 作者单位： | 辽宁师范大学,数学学院,辽宁,大连,116029;辽宁师范大学,数学学院,辽宁,大连,116029 |
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| 摘 要： | 在现在较为流行的局部微分几何文献（即文献[1]至文献[5]）中,曲面结构方程的推导是从运动方程中一个单一方程出发,利用张量符号的变换得出的,其推导过程的符号关系十分繁杂.本文引入了一种从矩阵方程出发整体推导曲面结构方程的方法.此方法以矩阵基本运算代替繁杂的张量符号变换,不仅使推导过程简化,而且也使推导的整体思路更为清晰.
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| 关 键 词： | 曲面的运动方程 曲面结构方程 矩阵 张量符号 |
| 文章编号： | 1000-1735（2007）03-0262-03 |
| 修稿时间： | 2007-02-10 |
A solution to deducing surface structural equation in whole by matrix |
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| XIE Lin,AN Yang. A solution to deducing surface structural equation in whole by matrix[J]. Journal of Liaoning Normal University(Natural Science Edition), 2007, 30(3): 262-264 |
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| Authors: | XIE Lin AN Yang |
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| Affiliation: | School of Mathematics, Liaoning Normal University, Dalian 116029, China |
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| Abstract: | In the prevalent partial differential geometry books,deducing the surface structural equation is strating from a single equation of the structural equations with transformation of tensor mark.The mark relation of its deducing process is very complicated.In this paper,the author introduces a method to deduce the surface structural equation from matrix equations.This method replaces complicated tensor mark relation by the matrix fundamental operation,so that the deducing process becomes easier and clearer. |
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| Keywords: | surface equation of motion surface structural equation matrix tensor mark |
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