On Lie algebroid actions and morphisms
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On the existence of a Haar measure in topological IP-loops
Beáta Stehlíková, Dagmar Markechová, Anna Tirpáková (2011)
Kybernetika
In this paper, we give conditions ensuring the existence of a Haar measure in topological IP-loops.
On the linearization theorem for proper Lie groupoids
Marius Crainic, Ivan Struchiner (2013)
Annales scientifiques de l'École Normale Supérieure
We revisit the linearization theorems for proper Lie groupoids around general orbits (statements and proofs). In the fixed point case (known as Zung’s theorem) we give a shorter and more geometric proof, based on a Moser deformation argument. The passage to general orbits (Weinstein) is given a more conceptual interpretation: as a manifestation of Morita invariance. We also clarify the precise statements of the Linearization Theorem (there has been some confusion on this, which has propagated throughout...
Orbit projections of proper Lie groupoids as fibrations
Armin Rainer (2009)
Czechoslovak Mathematical Journal
Let be a source locally trivial proper Lie groupoid such that each orbit is of finite type. The orbit projection is a fibration if and only if is regular.
Currently displaying 1 – 4 of 4
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