Orbifolds from a metric viewpoint

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.

15 pages, final version, appears in Geom. Dedicata

Cited by in corpus (5)

• Structure of Submetries
• A Boothby-Wang theorem for Besse contact manifolds
• Lifting isometries of orbit spaces
• A-Foliations of codimension two on compact simply-connected manifolds
• Deformations of the Veronese embedding and Finsler 2-spheres of constant curvature