The limit of Lagrangian surfaces in \(\mathbb{R}^ 4\) (Q1312795)
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scientific article; zbMATH DE number 495433
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The limit of Lagrangian surfaces in \(\mathbb{R}^ 4\) |
scientific article; zbMATH DE number 495433 |
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The limit of Lagrangian surfaces in \(\mathbb{R}^ 4\) (English)
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11 September 1994
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The author gives an example to show that the limit of a sequence of Lagrangian surfaces in \(\mathbb{R}^ 4\) is not necessarily a Lagrangian surface. The author proves also that for the Lagrangian graphs over a Lagrangian plane (e.g. the \(x_ 1x_ 2\)-plane), the limit is a Lagrangian surface.
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symplectic manifold
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singularity
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Lagrangian graphs
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