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arxiv: math/0304472 · v3 · submitted 2003-04-29 · 🧮 math.DG · math.GT

Volume collapsed three-manifolds with a lower curvature bound

classification 🧮 math.DG math.GT
keywords boundcurvaturelowervolumecollapsedcompletedeterminemanifolds
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In this paper we determine the topology of three-dimensional complete orientable Riemannian manifolds with a uniform lower bound of sectional curvature whose volume is sufficiently small.

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