Construction of Lagrangian Submanifolds in Complex Hyperquadric |
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| Authors: | Chiakuei PENG and Xiaowei XU |
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| Institution: | School of Mathematical Sciences, University of Chinese Academy ofSciences, Beijing 100049, China. and Corresponding author. School of Mathematical Sciences andWu Wen-Tsun Key Laboratory of Mathematics, University of Science andTechnology of China, Hefei 230026, China. |
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| Abstract: | In this paper, the authors present a method to construct the minimal
and ${\rm H}$-minimal Lagrangian submanifolds in complex
hyperquadric $Q_n$ from submanifolds with special properties in
odd-dimensional spheres. The authors also provide some detailed examples. |
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| Keywords: | Lagrangian submanifold Minimal H-minimal |
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