| R4(C)中平均曲率方向平行的Bonnet曲面 |
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| 引用本文： | 张远征. R4(C)中平均曲率方向平行的Bonnet曲面[J]. 数学研究及应用, 2005, 25(1): 104-113 |
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| 作者姓名： | 张远征 |
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| 作者单位： | 上海财经大学应用数学系,上海,200433 |
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| 摘 要： | 本文利用[5]的方法,对R4(C)中平均曲率方向平行的Bonnet曲面引入了半测地等温 参数,并给出了一个分类结果.
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| 关 键 词： | 平均曲率 Bonnet曲面 半测地等温参数 |
| 文章编号： | 1000-341X(2005)01-0104-10 |
| 收稿时间： | 2002-09-17 |
| 修稿时间： | 2002-09-17 |
Bonnet Surface with Parallel Mean Curvature Direction in R4(C) |
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| ZHANG Yuan-zheng. Bonnet Surface with Parallel Mean Curvature Direction in R4(C)[J]. Journal of Mathematical Research with Applications, 2005, 25(1): 104-113 |
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| Authors: | ZHANG Yuan-zheng |
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| Affiliation: | Dept. of Appl. Math.; Shanghai University of Finance and Economics; Shanghai; China |
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| Abstract: | In this paper, we study the Bonnet surfaces in the 4-dim space forms, which admit an isometric deformation preserving the mean curvature function. When the mean curvature direction is parallel, we first parameterize the Bonnet surfaces in R4(C) by semi-geodesic isothermal parameters, and then obtain a classification result which generalizes some work in [5] by W.H.Chen and H.Z.Li. |
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| Keywords: | mean curvature Bonnet surface semi-geodesic isothermal parameter |
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