| R3的射丛上Gauss方程不变解 |
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| 引用本文： | 何梅.R3的射丛上Gauss方程不变解[J].华东师范大学学报(自然科学版),2007,2007(3):16-22. |
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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,江苏,淮安,223001;华东师范大学,数学系,上海,200062 |
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| 摘 要： | 用对称群的方法研究了在R3的射丛上Gauss 曲率方程所容许的不变群及群不变解, 并得到相应的不变群及一些群不变解. 同时, 从方程的角度得到了具常Gauss曲率曲面的一些结果.
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| 关 键 词： | 不变曲面 不变群 群不变解 延拓 射流空间 不变曲面 不变群 群不变解 延拓 射流空间 |
| 文章编号： | 1000-5641（2007）03-0016-07 |
| 收稿时间： | 2006-05 |
| 修稿时间： | 2006-05 |
Invariant Solutions of Gauss Equation on Jet Bundle R3(Chinese) |
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| HE Mei.Invariant Solutions of Gauss Equation on Jet Bundle R3(Chinese)[J].Journal of East China Normal University(Natural Science),2007,2007(3):16-22. |
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| Authors: | HE Mei |
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| Institution: | 1.Department of Mathematics, Huaiyin Teachers College, Huaian Jiangsu 223001,China; 2.Department of Mathematics, East China Normal University, Shanghai 200062, China |
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| Abstract: | Using symmetry group methods, this paper studied the invariant groups admitted by Gauss curvature equation on jet bundle. Invariant groups, infinitesimal generators of the corresponding invariant groups and some group-invariant solutions were found. Results about some surfaces which have constant Gauss curvature were given. |
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| Keywords: | invariant surface invariant groups group-invariant solutions prolongation jet space |
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