Construction of Lagrangian Submanifolds in Complex Hyperquadric


Chiakuei PENG,Xiaowei XU.Construction of Lagrangian Submanifolds in Complex Hyperquadric[J].Chinese Annals of Mathematics B,2020,41(3):465~478
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Chiakuei PENG; Xiaowei XU


This work was supported by the National Natural Science Foundation of China (Nos.11331002, 11471299, 11871445).
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.


Lagrangian submanifold, Minimal, H-minimal


53C40, 53C42, 53D12.
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