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arXiv:math/0304472 [math.DG]AbstractReferencesReviewsResources

Volume collapsed three-manifolds with a lower curvature bound

Takashi Shioya, Takao Yamaguchi

Published 2003-04-29, updated 2004-04-15Version 3

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.

Comments: 24 pages, 4 EPS figures
Categories: math.DG, math.GT
Subjects: 53C20, 53C23, 57N10, 57M99
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