On Hamiltonian stable minimal Lagrangian surfaces in \({\mathbb{C}}\text{P}^2\) (Q1589328)
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scientific article; zbMATH DE number 1542080
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Hamiltonian stable minimal Lagrangian surfaces in \({\mathbb{C}}\text{P}^2\) |
scientific article; zbMATH DE number 1542080 |
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On Hamiltonian stable minimal Lagrangian surfaces in \({\mathbb{C}}\text{P}^2\) (English)
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11 December 2000
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The author proves the following result: Let \(\Sigma\) be a Hamiltonian stable minimal Lagrangian closed surface in \(\mathbb{C} P^2\) with induced metric. If the multiplicity of the first eigenvalue of the Laplacian acting on \(C^\infty (M)\) is \(\leq 6\), then \(\Sigma\) is either flat or totally geodesic.
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Hamiltonian stable
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Lagrangian surface
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