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)

Access to Document

10.1007/s00208-005-0667-x

Cite this

@article{a5db641a5e884e0ea581cdb8fd7c0916,

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.",

author = "Takashi Shioya and Takao Yamaguchi",

year = "2005",

month = sep,

doi = "10.1007/s00208-005-0667-x",

language = "English",

volume = "333",

pages = "131--155",

journal = "Mathematische Annalen",

issn = "0025-5831",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Volume collapsed three-manifolds with a lower curvature bound

AU - Shioya, Takashi

AU - Yamaguchi, Takao

PY - 2005/9

Y1 - 2005/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=23044475900&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23044475900&partnerID=8YFLogxK

U2 - 10.1007/s00208-005-0667-x

DO - 10.1007/s00208-005-0667-x

M3 - Article

AN - SCOPUS:23044475900

VL - 333

SP - 131

EP - 155

JO - Mathematische Annalen

JF - Mathematische Annalen

SN - 0025-5831

IS - 1

ER -

Volume collapsed three-manifolds with a lower curvature bound

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this