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Keywords:
orbit projection; proper Lie groupoid; fibration
orbit projection; proper Lie groupoid; fibration
Summary:
Let $\mathcal{G} \rightrightarrows M$ be a source locally trivial proper Lie groupoid such that each orbit is of finite type. The orbit projection $M \to M/\mathcal{G}$ is a fibration if and only if $\mathcal{G}\rightrightarrows M$ is regular.
References:
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[5] Zung, N. T.: Proper groupoids and momentum maps: linearization, affinity, and convexity. Ann. Sci. Éc. Norm. Supér. 39 (2006), 841-869. DOI 10.1016/j.ansens.2006.09.002 | MR 2292634
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