Non compact Euclidean cone 3-manifolds with cone angles less than 2pi

Mathematics – Geometric Topology

Scientific paper

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This is the version published by Geometry & Topology Monographs on 29 April 2008

Scientific paper

10.2140/gtm.2008.14.173

We describe some properties of noncompact Euclidean cone manifolds with cone
angles less than c less than 2pi and singular locus a submanifold. More
precisely, we describe its structure outside a compact set. As a corollary we
classify those with cone angles less than 3pi/2 and those with all cone angles
equal to 3pi/2.

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