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math.DG2007
Lie Groupoids as generalized atlases
Jean Pradines
Starting with some motivating examples (classical atlases for a manifold, space of leaves of a foliation, group orbits), we propose to view a Lie groupoid as a generalized atlas fo…
math.DG2007★ 2 cited
In Ehresmann's footsteps: from Group Geometries to Groupoid Geometries
Jean Pradines
For a smooth (locally trivial) principal bundle in Ehresmann's sense, the relation between the commuting vertical and horizontal actions of the structural Lie group and the structu…