F. Kamber

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20002004

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math.DG2004

Dimensional reduction of the perturbed Hermitian-Einstein equation

Steven B. Bradlow, James F. Glazebrook, Franz W. Kamber

Given a Kaehlerian holomorphic fiber bundle whose fiber is a compact homogeneous Kaehler manifold, we describe the perturbed Hermitian-Einstein equations relative to certain holomo…

math.DG2003

Completing Lie algebra actions to Lie group actions

Franz W. Kamber, Peter W. Michor

For a finite dimensional Lie algebra $\g$ of vector fields on a manifold $M$ we show that $M$ can be completed to a $G$ -space in a unversal way, which however is neither Hausdorff…

math.DG2000

The flow completion of a manifold with vector field

Franz W. Kamber, Peter W. Michor

For a vector field $X$ on a smooth manifold $M$ there exists a smooth but not necessarily Hausdorff manifold $M_{R}$ and a complete vector field $X_{R}$ on it which is the un…