The Conjugate Nets, Cartan Submanifolds, and Laplace Transformations in Space Forms |
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| Authors: | Haizhong LiZhen Guo |
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| Affiliation: | a Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People's Republic of Chinaf1hli@math.tsinghua.edu.cnf1b Department of Mathematics, Yunnan Normal University, Kunming, 650092, People's Republic of China |
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| Abstract: | In this paper we establish the geometric theory of conjugate nets, Cartan submanifolds, and Laplace transformations in sphere and pseudo-sphere spaces. The corresponding theory in cases of projective and Euclidean spaces has been established by Chern, Kamran and Tenenblat. |
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| Keywords: | conjugate net Cartan submanifold Laplace transformation |
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