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A
cyclic extension of the earthquake flow I
Francesco Bonsante, Gabriele Mondello and Jean-Marc Schlenker |
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Geometry & Topology 17 (2013) 157–234
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Abstract |
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Let be Teichmüller space of a closed surface of genus at least . We describe an action of the circle on , which limits to the earthquake flow when one of the parameters goes to a measured lamination in the Thurston boundary of . This circle action shares some of the main properties of the earthquake flow, for instance it satisfies an extension of Thurston’s Earthquake Theorem and it has a complex extension which is analogous and limits to complex earthquakes. Moreover, a related circle action on extends to the product of two copies of the universal Teichmüller space. |
Keywords
anti-de Sitter, earthquakes, constant curvature surfaces,
space-like surfaces
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Mathematical Subject Classification 2010
Primary: 57M50
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References |
Publication
Received: 6 September 2011
Revised: 5 July 2012
Accepted: 13 August 2012
Published: 26 February 2013
Proposed: Benson Farb
Seconded: Walter Neumann, David Gabai
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Authors |
| Francesco Bonsante | |
| Dipartimento do Matematica Università degli Studi di Pavia Via Ferrata 1 I-27100 Pavia Italy |
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| http://www-dimat.unipv.it/~bonsante/ | |
| Gabriele Mondello | |
| Università di Roma “La
Sapienza” Dipartimento di Matematica “Guido Castelnuovo” Piazzale Aldo Moro 5 I-00185 Roma Italy |
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| http://www.mat.uniroma1.it/people/mondello/ | |
| Jean-Marc Schlenker | |
| Institut de Mathématiques de
Toulouse Université Paul Sabatier 118 route de Narbonne F-31062 Toulouse Cedex 9 France |
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| http://www.math.univ-toulouse.fr/~schlenker/ | |
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