Cone 3-Manifolds

Joan Porti*

*Corresponding author for this work

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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 languageEnglish
Title of host publicationIn the Tradition of Thurston II
Subtitle of host publicationGeometry and Groups
PublisherSpringer International Publishing AG
Number of pages34
ISBN (Electronic)9783030975609
ISBN (Print)9783030975593
Publication statusPublished - 1 Jan 2022


  • Cone manifolds
  • Deformations
  • Orbifold
  • Rigidity


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