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arXiv · 1801.03472

Orbifolds from a metric viewpoint

Christian Lange
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Abstract

We characterize Riemannian orbifolds and their coverings in terms of metric geometry. In particular, we show that the metric double of a Riemannian orbifold along the closure of its codimension one stratum is a Riemannian orbifold and that the natural projection is an orbifold covering.

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Christian Lange. 2018-01-10. Orbifolds from a metric viewpoint. https://doi.org/10.1007/s10711-020-00521-x

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