| 三维De Sitter与Anti-de Sitter空间中的等参曲面 |
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| 引用本文： | 李梅,赵永波.三维De Sitter与Anti-de Sitter空间中的等参曲面[J].东北数学,2003,19(3):259-266. |
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| 作者姓名： | 李梅 赵永波 |
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| 作者单位： | Shenyang Institute of Technoloby，Shenyang，110015，Shenyang Institute of Technoloby，Shenyang，110015 |
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| 摘 要： | A spacelike surface M in 3-dimensional de sitter space S13 or 3-dimensional anti-de Sitter space H13 is called isoparametric, if M has constant principal curvatures. A timelike surface is called isoparametric, if its minimal polynomial of the shape operator is constant. In this paper, we determine the spacelike isoparametric surfaces and the timelike isoparametric surfaces in S13 and H13.
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| 关 键 词： | 等参曲面 deSitter空间 反deSitter空间 主曲率 Riemann流形 超曲面 形状算子 结构方程 空间 时间 |
Isoparametric Surfaces in 3-dimensional De Sitter Space and Anti-de Sitter Space |
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| LI Mei and ZHAO Yongbo.Isoparametric Surfaces in 3-dimensional De Sitter Space and Anti-de Sitter Space[J].Northeastern Mathematical Journal,2003,19(3):259-266. |
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| Authors: | LI Mei and ZHAO Yongbo |
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| Institution: | ShenyangInstituteofTechnoloby,Shenyang,110015 |
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| Abstract: | A spacelike surface M in 3-dimensional de sitter space S1^3 or 3-dimensional anti-de Sitter space H1^3 is called isoparametric, if M has constant principal curvatures .A timelike surface is called isoparametric, if its minimal polynomial of the shape operator is constant. In this paper, we determine the spacelike isoparametric surfaces and the timelike isoparametric surfaces in S1^3 and H1^3. |
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| Keywords: | isoparametric surface de Sitter and anti-de Sitter spaces principal curvature |
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