Deforming Euclidean cone 3-manifolds

Joan Porti; Hartmut Weiss

doi:https://doi.org/10.2140/gt.2007.11.1507

Deforming Euclidean cone 3-manifolds

Joan Porti, Hartmut Weiss

Department of Mathematics

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

17 Citations (Scopus)

Abstract

Given a closed orientable Euclidean cone 3-manifold C with cone angles ≤ π and which is not almost product, we describe the space of constant curvature cone structures on C with cone angles < π. We establish a regeneration result for such Euclidean cone manifolds into spherical or hyperbolic ones and we also deduce global rigidity for Euclidean cone structures.

Original language	English
Pages (from-to)	1507-1538
Journal	Geometry and Topology
Volume	11
DOIs	https://doi.org/10.2140/gt.2007.11.1507
Publication status	Published - 23 Jul 2007

Access to Document

https://doi.org/10.2140/gt.2007.11.1507

Cite this

@article{e82140338e37402cae82348dc29584aa,

title = "Deforming Euclidean cone 3-manifolds",

abstract = "Given a closed orientable Euclidean cone 3-manifold C with cone angles ≤ π and which is not almost product, we describe the space of constant curvature cone structures on C with cone angles < π. We establish a regeneration result for such Euclidean cone manifolds into spherical or hyperbolic ones and we also deduce global rigidity for Euclidean cone structures.",

author = "Joan Porti and Hartmut Weiss",

year = "2007",

month = jul,

day = "23",

doi = "https://doi.org/10.2140/gt.2007.11.1507",

language = "English",

volume = "11",

pages = "1507--1538",

}

TY - JOUR

T1 - Deforming Euclidean cone 3-manifolds

AU - Porti, Joan

AU - Weiss, Hartmut

PY - 2007/7/23

Y1 - 2007/7/23

N2 - Given a closed orientable Euclidean cone 3-manifold C with cone angles ≤ π and which is not almost product, we describe the space of constant curvature cone structures on C with cone angles < π. We establish a regeneration result for such Euclidean cone manifolds into spherical or hyperbolic ones and we also deduce global rigidity for Euclidean cone structures.

AB - Given a closed orientable Euclidean cone 3-manifold C with cone angles ≤ π and which is not almost product, we describe the space of constant curvature cone structures on C with cone angles < π. We establish a regeneration result for such Euclidean cone manifolds into spherical or hyperbolic ones and we also deduce global rigidity for Euclidean cone structures.

U2 - https://doi.org/10.2140/gt.2007.11.1507

DO - https://doi.org/10.2140/gt.2007.11.1507

M3 - Article

VL - 11

SP - 1507

EP - 1538

ER -

Deforming Euclidean cone 3-manifolds

Abstract

Access to Document

Fingerprint

Cite this