Parameter rigid actions of simply connected nilpotent Lie groups (Q2874007)
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scientific article; zbMATH DE number 6251102
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parameter rigid actions of simply connected nilpotent Lie groups |
scientific article; zbMATH DE number 6251102 |
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Parameter rigid actions of simply connected nilpotent Lie groups (English)
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28 January 2014
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nilpotent Lie group
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rigid action
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cohomology
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0.9385375
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0.9075686
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0.9020254
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0.89521056
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0.88917154
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0.88904446
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0.8873025
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It is shown that a locally free \(C^\infty\)-action of a connected and simply connected nilpotent Lie group on a compact manifold is parameter rigid if every real-valued cocycle is cohomologous to a constant cocycle. The converse is true if the action has a dense orbit. Using this, the author constructs parameter-rigid actions of simply connected nilpotent Lie groups whose Lie algebras admit rational structures with graduations.
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