Projection and slicing theorems in Heisenberg groups (Q452035)
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scientific article; zbMATH DE number 6084074
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Projection and slicing theorems in Heisenberg groups |
scientific article; zbMATH DE number 6084074 |
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Projection and slicing theorems in Heisenberg groups (English)
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19 September 2012
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The authors consider the projection and slicing theorems in a sub-Riemannian Heisenberg group. They formulate almost sure statements in terms of a natural measure on the Grassmannian of isotropic subgroups. The results posed in the sub-Riemannian Heisenberg group \(H^n\) are generalizations of those which hold in Eculidean spaces etc.
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Hausdorff dimension
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Heisenberg group
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isotropic Grassmannian
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projection
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0.91574425
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0.9009005
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0.8894448
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0.8878334
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0.88348156
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0.8819502
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0.8812161
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