Some remarks on bounded earthquakes

Author:
Dragomir Saric

Journal:
Proc. Amer. Math. Soc. **138** (2010), 871-879

MSC (2010):
Primary 30F60; Secondary 32G15

Published electronically:
October 21, 2009

MathSciNet review:
2566553

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Abstract | References | Similar Articles | Additional Information

Abstract: We show that an earthquake of a geometrically infinite hyperbolic surface induces an asymptotically conformal change in the hyperbolic metric if and only if the measured lamination associated with the earthquake is asymptotically trivial on the surface. Then we show that the contraction along earthquake paths is continuous in the Teichmüller space of any hyperbolic surface. Finally, we show that if a measured lamination vanishes while approaching infinity at a rate higher than the distance to the boundary, then it must be trivial.

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Additional Information

**Dragomir Saric**

Affiliation:
Department of Mathematics, Queens College of The City University of New York, 65-30 Kissena Boulevard, Flushing, New York 11367

Email:
Dragomir.Saric@qc.cuny.edu

DOI:
https://doi.org/10.1090/S0002-9939-09-10156-9

Received by editor(s):
September 10, 2008

Published electronically:
October 21, 2009

Additional Notes:
This work was in part supported by PSC CUNY grant PSC-REG-39-386.

Communicated by:
Mario Bonk

Article copyright:
© Copyright 2009
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.