Orbit projections as fibrations

Details Orbit projections as fibrations Orbit projections as fibrations

2006-10-17

arxiv.org/abs/math/0610513v1

Czechoslovak Math. J. 59 (2009), No. 2, 529--538.

Mathematics

Differential Geometry

7 pages

Scientific paper

The orbit projection $\pi : M \to M/G$ of a proper $G$-manifold $M$ is a
fibration if and only if all points in $M$ are regular. Under additional
assumptions we show that $\pi$ is a quasifibration if and only if all points
are regular. We get a full answer in the equivariant category: $\pi$ is a
$G$-quasifibration if and only if all points are regular.

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