| S^3到CP^4的等变弱Lagrangian极小浸入 |
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| 引用本文： | 黎镇琦,周燕飞.S^3到CP^4的等变弱Lagrangian极小浸入[J].南昌大学学报(理科版),2005,29(5):409-415. |
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| 作者姓名： | 黎镇琦 周燕飞 |
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| 作者单位： | 南昌大学数学系,江西南昌330047 |
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| 基金项目： | 国家自然科学基金资助项目(10261006)，教育部全国优秀博士论文作者专项资金资助项目(200217)，江西自然科学基金资助项目(0211025) |
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| 摘 要： | 研究3维球面S^3到复射影空间CP^4中的非常数截面曲率的等变弱Lagrangian极小浸入。
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| 关 键 词： | 复射影空间 等变 弱Lagrangian 极小浸入 |
| 文章编号： | 1006-0464（2005）05-0409-07 |
| 收稿时间： | 2005-01-10 |
| 修稿时间： | 2005年1月10日 |
NON- CONSTANT CURVATURE EQUIVARIANT WEAKLY LAGRANGIAN MINIMAL S^3 IN CP^4 |
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| LI Zhen-qi, ZHOU Yan-fei.NON- CONSTANT CURVATURE EQUIVARIANT WEAKLY LAGRANGIAN MINIMAL S^3 IN CP^4[J].Journal of Nanchang University(Natural Science),2005,29(5):409-415. |
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| Authors: | LI Zhen-qi ZHOU Yan-fei |
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| Institution: | Department of Mathematics, Nanchang University, Nanchang 330047, China |
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| Abstract: | It is proved that an equivariant weakly lagrangian minimal 3-sphere S^3 with non-constant sectional cutvature immersed in the comples projective space CP^4 is contained in a totally geometricreal projective space RP^4 of CP^4 and is an isoparametric hypersurface of RP^4 with 3 distinct principle curvatures. The inverse image of S^3 under the Hopf fibration is the minimal isoparametric hypetsurface in S^3 with 3 distinct principle curvatures. |
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| Keywords: | complex projective space epuivariant weak langrangian minimal submanifold |
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