A local rigidity theorem for minimal surfaces in Minkowski 3-space of Randers type (Q885814)
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scientific article; zbMATH DE number 5164785
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A local rigidity theorem for minimal surfaces in Minkowski 3-space of Randers type |
scientific article; zbMATH DE number 5164785 |
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A local rigidity theorem for minimal surfaces in Minkowski 3-space of Randers type (English)
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14 June 2007
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The author studies minimal surfaces in a 3-dimensional Minkowski space of Randers-type. He proves that if a connected surface in \(\mathbb R^3\) is minimal with respect to both the Busemann-Hausdorff volume form and the Holmes-Thompson volume form, then up to a parallel translation of \(\mathbb R^3\) the surface is either a piece of a plane or a piece of a helicoid generated by lines screwing about the \(x^3\)-axis.
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Minkowski space of Randers type
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mean curvature
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BH-minimal
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HT-minimal
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