Cone 3-Manifolds

Joan Porti

doi:10.1007/978-3-030-97560-9_4

Cone 3-Manifolds

Joan Porti^*

^*Corresponding author for this work

Department of Mathematics

Centre for Mathematical Research (CRM)

Research output: Chapter in Book › Chapter › Research › peer-review

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Abstract

This is an overview on hyperbolic cone 3-manifolds, their deformation theory and their role in Thurston’s orbifold theorem. We also describe the phenomena that may occur when deforming the cone angles, like cusp opening or collapses, under the assumption that the cone angles are less than π.

Original language	English
Title of host publication	In the Tradition of Thurston II
Subtitle of host publication	Geometry and Groups
Publisher	Springer International Publishing AG
Pages	115-148
Number of pages	34
ISBN (Electronic)	9783030975609
ISBN (Print)	9783030975593
DOIs	https://doi.org/10.1007/978-3-030-97560-9_4
Publication status	Published - 1 Jan 2022

Keywords

Cone manifolds
Deformations
Orbifold
Rigidity

Access to Document

10.1007/978-3-030-97560-9_4

https://ddd.uab.cat/record/275424

Cite this

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KW - Orbifold

KW - Rigidity

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Cone 3-Manifolds

Abstract

Keywords

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Invariantes locales y globales en geometria

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Cone 3-Manifolds

Abstract

Keywords

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Invariantes locales y globales en geometria

Cite this