Volume collapsed three-manifolds with a lower curvature bound

Takashi Shioya; Takao Yamaguchi

doi:10.1007/s00208-005-0667-x

Volume collapsed three-manifolds with a lower curvature bound

Takashi Shioya, Takao Yamaguchi

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	131-155
Number of pages	25
Journal	Mathematische Annalen
Volume	333
Issue number	1
DOIs	https://doi.org/10.1007/s00208-005-0667-x
Publication status	Published - 2005 Sep

ASJC Scopus subject areas

Mathematics(all)

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title = "Volume collapsed three-manifolds with a lower curvature bound",

abstract = "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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