| 实空间形式到四元欧氏空间的Lagrangian等距浸入 |
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| 引用本文： | 徐翔. 实空间形式到四元欧氏空间的Lagrangian等距浸入[J]. 复旦学报(自然科学版), 2007, 46(2): 175-183 |
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| 作者姓名： | 徐翔 |
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| 作者单位： | 复旦大学,数学科学学院,上海,200433 |
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| 基金项目： | Acknowledgement The author would like to thank Professor Dong Yuxin for his useful suggestions and kind encouragements in the course of this thesis. |
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| 摘 要： | 运用子流形理论从挠积角度研究了从实空间形式到四元欧氏空间的拉格朗日等距浸入,给出了实空间形式Mn(0)的挠积分解与相应的到四元欧氏空间的拉格朗日等距浸入之间的关系,构造了一个非平凡的适应拉格朗日等距浸入的实例.
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| 关 键 词： | 拉格朗日等距浸入 挠积 四元欧氏空间 |
| 文章编号： | 0427-7104（2007）02-0175-09 |
| 修稿时间： | 2006-06-26 |
Lagrangian Isometric Immersions of a Real Space Form Mn(0) into a Quaternion Euclidean Space Hn |
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| XU Xiang. Lagrangian Isometric Immersions of a Real Space Form Mn(0) into a Quaternion Euclidean Space Hn[J]. Journal of Fudan University(Natural Science), 2007, 46(2): 175-183 |
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| Authors: | XU Xiang |
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| Affiliation: | School of Mathematical Sciences, Fudan University, Shanghai 200433, China |
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| Abstract: | Using the idea of twisted product,Lagrangian isometric immersions of a real space form into quaternion Euclidean spaces is investigated.The relationship between the twisted product of a real space form Mn(0) and the Lagrangian isometric immersions of Mn(0) into a quaternion Euclidean space is discussed with a nontrivial example of the adapted Lagrangian isometric immersions. |
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| Keywords: | Lagrangian isometric immersion twisted product quaternion Euclidean space |
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