On the Busemann area in Minkowski spaces (Q1591761)
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scientific article; zbMATH DE number 1549915
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Busemann area in Minkowski spaces |
scientific article; zbMATH DE number 1549915 |
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On the Busemann area in Minkowski spaces (English)
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9 January 2001
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The author proves that in the Minkowski compactum \(M_n\) every neighbourhood of \(l_2^n\) contains Minkowski spaces for which the Busemann area is not integral-geometric and those for which the Busemann area is integral-geometric. He also shows that if \(n=3\) or \(n\) is sufficiently large then in \(M_n\) a full neighbourhood of \(l^n_\infty\) consists of Minkowski spaces for which the Busemann area is not integral-geometric.
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Minkowski space
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integral-geometric area
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Busemann area
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