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arxiv: 0904.1407 · v1 · submitted 2009-04-08 · 🧮 math.GT

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

classification 🧮 math.GT
keywords coneangleslesscompactdescribeeuclideanmanifoldsthose
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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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