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math.DG2000
The flow completion of a manifold with vector field
Franz W. Kamber, Peter W. Michor
For a vector field on a smooth manifold there exists a smooth but not necessarily Hausdorff manifold and a complete vector field on it which is the un…
math.DG2000
Extensions of Lie algebras
Dmitri Alekseevsky, Peter W. Michor, Wolfgang Ruppert
We review (non-abelian) extensions of a given Lie algebra, identify a 3-dimensional cohomological obstruction to the existence of extensions. A striking analogy to the setting of c…