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Non compact Euclidean cone 3–manifolds with cone
angles less than 2π
Daryl Cooper and Joan Porti
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Geometry & Topology Monographs 14
(2008) 173–192
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Abstract
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We describe some properties of noncompact Euclidean cone manifolds with cone
angles less than c less than 2π 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 3π∕2 and those with all cone angles equal to
3π∕2.
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Keywords
one-manifolds, soul theorem, Alexandrov
spaces
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Mathematical Subject Classification
Primary: 57M50
Secondary: 53C23
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Publication
Received: 31 May 2006
Revised: 19 April 2007
Accepted: 23 April 2007
Published: 29 April 2008
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