Explicit expressions for the Iwasawa factors, the metric and the monodromy matrices for minimal Lagrangian surfaces in \(\mathbb{C}P^{2}\) (Q2832876)

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scientific article; zbMATH DE number 6652966
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Explicit expressions for the Iwasawa factors, the metric and the monodromy matrices for minimal Lagrangian surfaces in \(\mathbb{C}P^{2}\)
scientific article; zbMATH DE number 6652966

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    15 November 2016
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    Lagrangian surfaces
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    complex projective plane
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    loop group method
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    Explicit expressions for the Iwasawa factors, the metric and the monodromy matrices for minimal Lagrangian surfaces in \(\mathbb{C}P^{2}\) (English)
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    In this paper the authors continue their study of equivariant minimal Lagrangian surfaces in the projective space \(\mathbb CP^2\). Let us recall that the study of minimal Lagrangian surfaces in the complex projective plane is a relevant topic for differential geometry, mathematical physics and integrable systems theory. The authors use the loop group method. As a consequence of their results, they are able to give a direct classification of homogeneous minimal Lagrangian surfaces into \(\mathbb CP^2\).NEWLINENEWLINEFor the entire collection see [Zbl 1343.00043].
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