The contact metric connection on the Heisenberg group (Q1735120)
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scientific article; zbMATH DE number 7043824
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The contact metric connection on the Heisenberg group |
scientific article; zbMATH DE number 7043824 |
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The contact metric connection on the Heisenberg group (English)
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28 March 2019
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The authors prove that on the 3-dimensional Heisenberg group with left-invariant Sasakian stucture there exists a unique contact metric connection with skew-torsion. They show that this connection has parallel torsion and curvature and non-positive sectional curvature.
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Heisenberg group
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Sasakian structure
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connection with skew-torsion
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sectional curvature
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