New examples of minimal Lagrangian tori in the complex projective plane (Q1344912)

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scientific article; zbMATH DE number 724658
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New examples of minimal Lagrangian tori in the complex projective plane
scientific article; zbMATH DE number 724658

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    New examples of minimal Lagrangian tori in the complex projective plane (English)
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    30 March 1995
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    There are few examples of compact Lagrangian (= totally real) minimal surfaces in the complex projective plane \(\mathbb{C} \mathbb{P}^ 2\). In this paper, an infinite family of minimal Lagrangian tori is constructed so that each element of the family is invariant by a one-parameter group of holomorphic isometries of \(\mathbb{C} \mathbb{P}^ 2\).
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    compact Lagrangian minimal surfaces
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    complex projective plane
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    Lagrangian tori
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    holomorphic isometries
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