The flat translation surfaces in the 3-dimensional Lorentz Heisenberg group \(\mathbb{H}_3\) (Q6617252)
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scientific article; zbMATH DE number 7924678
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The flat translation surfaces in the 3-dimensional Lorentz Heisenberg group \(\mathbb{H}_3\) |
scientific article; zbMATH DE number 7924678 |
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The flat translation surfaces in the 3-dimensional Lorentz Heisenberg group \(\mathbb{H}_3\) (English)
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10 October 2024
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A translation surface in a group manifold arises as the product of two planar curves. In the present paper, translation surfaces in the Lorentz-Heisenberg group \(H_3\) with a flat Lorentzian metric are studied. In this case, six types of translation surfaces are distinguished and those with vanishing Gaussian curvature are classified.
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Lorentz-Heisenberg group
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translation surfaces
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flat surfaces
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