Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parameter rigid actions of simply connected nilpotent Lie groups   We show that for a locally free action of a simply connected nilpotent Lie
group on a compact manifold, if every real valued cocycle is cohomologous to a
constant cocycle, then the action is parameter rigid. The converse is true if
the action has a dense orbit. Using this, we construct parameter rigid actions
of simply connected nilpotent Lie groups whose Lie algebras admit rational
structures with graduations. This generalizes the results of dos Santos
[Parameter rigid actions of the Heisenberg groups. Ergod. Th. & Dynam. Sys. 27
(2007), 1719-1735] concerning the Heisenberg groups.

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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas