| R^3,1中具有平行平均曲率向量的类时曲面 |
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| 引用本文： | 陈建华,林敏.R^3,1中具有平行平均曲率向量的类时曲面[J].装甲兵工程学院学报,2011,25(1):95-98. |
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| 作者姓名： | 陈建华 林敏 |
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| 作者单位： | 装甲兵工程学院基础部,北京,100072 |
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| 基金项目： | 国家自然科学基金资助项目(NSFC1086103) |
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| 摘 要： | 用可积系统方法给出了4维Minkowski空间R^3,1中具有平行平均曲率向量的正则类时曲面的表示。与类空曲面不同,这些类时曲面由Klein-Gordon方程ωxy＋｜H｜sinhω=0,ωxy-｜H｜coshω=0,ωxy＋1/2｜H｜eω/2=0所决定,表明这类曲面在R3,1中是丰富的。
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| 关 键 词： | 类时曲面 平行平均曲率向量 可积系统 |
The Time-like Surfaces with Parallel Mean Curvature Vector in R3, 1 |
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| CHEN Jian-hua,LIN Min.The Time-like Surfaces with Parallel Mean Curvature Vector in R3, 1[J].Journal of Armored Force Engineering Institute,2011,25(1):95-98. |
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| Authors: | CHEN Jian-hua LIN Min |
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| Institution: | CHEN Jian-hua,LIN Min(Department of Fundamental Courses,Academy of Armored Force Engineering,Beijing 100072,China) |
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| Abstract: | In this paper,the time-like surface with parallel mean curvature vector in 4-dimensional Minkowski space R3,1 is expressed by means of integrable system.Being different from space-like surface,the time-like surface is determined by a kind of Klein-Gordon equations：ωxy＋｜H｜sinhω=0,ωxy-｜H｜coshω=0,ωxy＋1/2｜H｜eω/2=0.It shows that the time-like surface is abundant in R3,1. |
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| Keywords: | time-like surface parallel mean curvature vector integrable system |
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