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1. A construction of Lagrangian submanifolds in complex Euclidean spaces with legendre curves

Author

Yun Myung Oh

Subjects
symbols.namesake, Associated Legendre polynomials, Pure mathematics, TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY, General Mathematics, Mathematical analysis, Euclidean geometry, symbols, Construct (python library), Mathematics::Symplectic Geometry, Legendre polynomials, Lagrangian, Mathematics
Abstract

In [1], B. Y. Chen provided a new method to construct Lagrangian surfaces in C2 by using Legendre curves in S3(1) $\subset$ C2. In this paper, we investigate the similar methods to construct some Lagrangian submanifolds in complex Euclidean spaces Cn (n ≥ 3).

Published
2009
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