Euclidean earthquakes

Roger W. Barnard, Eric M. Murphy, G. Brock Williams

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

William Thurston developed shearing earthquake maps as transformations in the Teichmüller space of hyperbolic Riemann surfaces, and Curtis McMullen expanded these transformations to include grafting earthquake maps on hyperbolic surfaces. These earthquake maps have been extensively studied, but the literature is confined to earthquake transformations on hyperbolic surfaces. In this article, we define similar transformations on the Teichmüller space of compact tori and describe the differences between the hyperbolic and Euclidean earthquakes.

Original languageEnglish
Pages (from-to)639-652
Number of pages14
JournalComplex Variables and Elliptic Equations
Volume54
Issue number7
DOIs
StatePublished - Jul 2009

Keywords

  • Riemann surface
  • Teichmuller theory

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