| 射丛上常平均曲率方程的对称群 |
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| 引用本文： | 何梅.射丛上常平均曲率方程的对称群[J].武汉理工大学学报,2010(1). |
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| 作者姓名： | 何梅 |
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| 作者单位： | 淮阴师范学院数学系; |
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| 基金项目： | 江苏省普通高校自然科学研究计划项目(08KJB110002) |
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| 摘 要： | 利用Lie对称群的方法研究了在的射丛上非零常平均曲率方程的对称群,得到了方程容许Lie对称群的无穷小生成元应满足的方程并给出了方程容许Lie对称群的一些无穷小生成元。
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| 关 键 词： | 不变曲面 对称群 射丛 延拓 不变性的无穷小准则 |
Some Symmetry Groups of Constant Mean Curvature Equation on Jet Bundle |
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| HE Mei.Some Symmetry Groups of Constant Mean Curvature Equation on Jet Bundle[J].Journal of Wuhan University of Technology,2010(1). |
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| Authors: | HE Mei |
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| Affiliation: | HE Mei (Department of Mathematics,Huaiyin Teachers College,Huai\'an 223300,China) |
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| Abstract: | Using symmetry group methods,this paper researches the invariant groups admitted by non-zero constant Mean curvature equation on jet bundle.Equations which infinitesimal generators of the corresponding invariant groups satisfied are found.Several infinitesimal generators of the corresponding invariant groups are given. |
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| Keywords: | invariant surface symmetry groups jet bundle prolongation infinitesimal criterion of invariance |
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