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Volume collapsed three-manifolds with a lower curvature bound

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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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Authors and Affiliations

  1. Mathematical Institute, Tohoku University, Sendai, 980-8578, Japan

    Takashi Shioya

  2. Institute of Mathematics, University of Tsukuba, Tsukuba, 305-8571, Japan

    Takao Yamaguchi

Authors
  1. Takashi Shioya
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  2. Takao Yamaguchi
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Correspondence to Takashi Shioya.

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Shioya, T., Yamaguchi, T. Volume collapsed three-manifolds with a lower curvature bound. Math. Ann. 333, 131–155 (2005). https://doi.org/10.1007/s00208-005-0667-x

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  • DOI: https://doi.org/10.1007/s00208-005-0667-x

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