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| Construction of Lagrangian Submanifolds in Complex Hyperquadric |
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Citation： |
Chiakuei PENG,Xiaowei XU.Construction of Lagrangian Submanifolds in Complex Hyperquadric[J].Chinese Annals of Mathematics B,2020,41(3):465~478 |
| Page view： 934
Net amount： 655 |
Authors： |
Chiakuei PENG; Xiaowei XU |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11331002, 11471299, 11871445). |
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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. |
Keywords： |
Lagrangian submanifold, Minimal, H-minimal |
Classification： |
53C40, 53C42, 53D12. |
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