The area formula for graphs on 4-dimensional 2-step sub-Lorentzian structures (Q5963440)
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scientific article; zbMATH DE number 6543097
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The area formula for graphs on 4-dimensional 2-step sub-Lorentzian structures |
scientific article; zbMATH DE number 6543097 |
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The area formula for graphs on 4-dimensional 2-step sub-Lorentzian structures (English)
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19 February 2016
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The author considers a certain 4-dimensional sub-Lorentzian structure. It is proved in Theorem 26 that a family of surfaces satisfying a certain differential condition is space-like, and their 4-dimensional sub-Lorentzian Hausdorff measure is computed. In addition, the horizontal sub-Lorentzian 4-dimensional Hausdorff measure of a more general family is computed in Theorem 34.
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sub-Lorentzian geometry
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graph surface
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area formula
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Hausdorff measure
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0.9607488
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0.8972937
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0.8911371
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0.8842644
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0.8809355
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0.87346375
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0.84993756
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0.8429806
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