| INFINITESIMAL DEFORMATIONS OF TIME-LIKE SURFACES IN MINKOWSKI 3-SPACE |
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| 作者姓名： | 左达峰 陈卿 程艺 周扣华 |
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| 作者单位： | [1]DepartmentofMathematics,UniversityofScienceandTechnologyofChina,Hefei230026,China [2]DepartmentofMathematics,YangzhouUniversity,Yangzhou225002,China |
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| 基金项目： | 国家自然科学基金，国家重点基础研究发展计划(973计划) |
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| 摘 要： | In this paper, infinitesimal deformations of time-like surfaces are investigated in Minkowski 3-space R^2,1. It is shown that some given deformations of the time-like surface can be described by 2 1 dimensional integrable systems. Moreover spectral parameters are introduced, and it is proved that deformation families are soliton surfaces‘ families.
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| 关 键 词： | 变形 类时 2＋1空间积分系统 高斯曲率 线性坐标 |
INFINITESIMAL DEFORMATIONS OF TIME-LIKE SURFACES IN MINKOWSKI 3-SPACE |
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| Zuo Dafeng Chen Qing,Cheng Yi Zhou Kouhua.INFINITESIMAL DEFORMATIONS OF TIME-LIKE SURFACES IN MINKOWSKI 3-SPACE[J].Acta Mathematica Scientia,2004,24(4):519-528. |
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| Authors: | Zuo Dafeng Chen Qing Cheng Yi Zhou Kouhua |
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| Institution: | Zuo Dafeng Chen Qing
Cheng Yi Zhou Kouhua
Department of Mathematics,University of Science and Technology of China,Hefei 230026,China
Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China
Department of Mathematics,Yangzhou University,Yangzhou 225002,China |
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| Abstract: | In this paper, infinitesimal deformations of time-like surfaces are investigated in Minkowski 3-space R2,1. It is shown that some given deformations of the time-like surface can be described by 2 1 dimensional integrable systems. Moreover spectral parameters are introduced, and it is proved that deformation families are soliton surfaces' families. |
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| Keywords: | Time-like deformation 2 1 dimensional system |
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