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

Yun Myung Oh

doi:10.2996/kmj/1257948893

Kodai Mathematical Journal

Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991

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

Yun Myung Oh

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Keywords: Lagrangian submanifolds, Legendre curves, special Legendre translation submanifolds

JOURNAL FREE ACCESS

2009 Volume 32 Issue 3 Pages 521-529

DOI https://doi.org/10.2996/kmj/1257948893

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Abstract

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

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