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| FLAT TIME-LIKE SUBMANIFOLDS IN ANTI-DE SITTER SPACE $H_1^{2n-1}(-1)$ |
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Citation： |
ZUO Dafeng,CHEN Qing,CHENG Yi.FLAT TIME-LIKE SUBMANIFOLDS IN ANTI-DE SITTER SPACE $H_1^{2n-1}(-1)$[J].Chinese Annals of Mathematics B,2005,26(3):457~466 |
| Page view： 1300
Net amount： 1095 |
Authors： |
ZUO Dafeng; CHEN Qing;CHENG Yi |
Foundation： |
Project supported supported by the 973 Project of the Ministry of Science and Technology of China and the National Natural Science Foundation of China (No.10301030). |
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| Abstract： |
By using dressing actions of the $G_{n-1,n-1}^{1,1}$-system, the authors study geometric transformations for flat time-like $n$-submanifolds with flat, non-degenerate normal bundle in anti-de Sitter space $H_1^{2n-1}(-1)$, where $G_{n-1,n-1}^{1,1}=O(2n-2,2)/O(n-1,1)\times O(n-1,1)$. |
Keywords： |
Dressing action, $G_{n-1,n-1}^{1,1}$-System, Flat time-like submanifold |
Classification： |
53A05, 35Q51 |
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