Invariant structures on the 6-dimensional generalized Heisenberg group (Q2853236)
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scientific article; zbMATH DE number 6217186
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant structures on the 6-dimensional generalized Heisenberg group |
scientific article; zbMATH DE number 6217186 |
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18 October 2013
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almost Hermitian structure
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\(G_1\)-structure
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homogeneous \(k\)-symmetric space
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Invariant structures on the 6-dimensional generalized Heisenberg group (English)
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The author represents the 6-dimensional generalized Heisenberg group \((N,g)\) as a Riemannian homogeneous 6-symmetric space to construct all left-invariant metric \(f\)-structures on \((N,g)\). He obtains four left-invariant metric \(f\)-structures on \((N,g)\), and proves that some of these four structures belong to one of the following classes: nearly Kähler, Hermitian \(f\)-structures, almost Hermitian \(G_1\)-structures.
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