On 4-planar mappings of special almost antiquaternionic spaces (Q2722342)
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scientific article; zbMATH DE number 1617675
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On 4-planar mappings of special almost antiquaternionic spaces |
scientific article; zbMATH DE number 1617675 |
Statements
26 November 2002
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4-planar mappings
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almost quaternionic spaces
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Hermitian spaces
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0.9188658
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0.8836764
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0.86356634
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On 4-planar mappings of special almost antiquaternionic spaces (English)
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In this paper it is shown that, under a local condition, an equiaffine space \(A_n\) admits a 4-planar mapping on: (i) an antiquaternionic Hermitian space \(V_n\) if and only if there exists a regular tensor \(a^{ij}\) on \(A_n\) satisfying three suitable conditions; (ii) a Hermitian almost quaternionic space \(V_n\) if and only if a certain system of ordinary differential equations of Cauchy type is solvable with respect to the unknown functions \(a^{ij}\).NEWLINENEWLINEFor the entire collection see [Zbl 0961.00020].
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