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Construction of
Lagrangian submanifolds in ℂℙn
Qing Chen, Sen Hu and Xiaowei Xu |
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Vol. 258 (2012), No. 1, 31–49
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Abstract |
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We present a method of construction of minimal and H-minimal Lagrangian submanifolds in complex projective space ℂℙq+m from a Legendrian submanifold in 𝕊2q+1(1) ⊂ ℂq+1 and a Lagrangian submanifold in ℂm that is contained in 𝕊2m−1(r). We also provide some explicit examples. |
Keywords
Lagrangian submanifold, Legendrian submanifold, minimal,
H-minimal
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Mathematical Subject Classification 2010
Primary: 53C42, 53C55
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Milestones
Received: 18 October 2011
Accepted: 30 January 2012
Published: 21 July 2012
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Authors |
| Qing Chen | |
| Department of Mathematics University of Science and Technology of China Hefei, Anhui, 230026 China |
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| Sen Hu | |
| Department of Mathematics University of Science and Technology of China Hefei, Anhui, 230026 China |
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| Xiaowei Xu | |
| Department of Mathematics University of Science and Technology of China Hefei, Anhui, 230026 China |
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