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Thurston distance on the Teichmüller space of hyperbolic 3-manifolds

Published online by Cambridge University Press:  17 April 2009

Inkang Kim
Inkang Kim
Affiliation:
Department of Mathematics, Korea Advanced Institute of Science and Technology, 373–1 Kusong-dong Yusong-ku, Taejon 305–701, Korea, e-mail: [email protected]
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Abstract

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In this paper we show that the Thurston distance together with the critical exponent on the Teichmüller space of a convex cocompact hyperbolic 3-manifold distinguishes the different points.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 61 , Issue 1 , February 2000 , pp. 121 - 127
Copyright
Copyright © Australian Mathematical Society 2000

References

REFERENCES

[1]Bonahon, F., ‘Shearing hyperbolic surfaces, Bending pleated surfaces and Thurston's symplectic form’, Ann. Fac. Sci. Toulous Math. (5) 2 (1996), 233–297.CrossRefGoogle Scholar
[2]Kim, I., ‘Rigidity of rank one symmetric spaces and their product’, (submitted).Google Scholar
[3]Kim, I., ‘Coordinates of the representation space in the semisimple Lie group of rank one’, Bull. Austral. Math. Soc. 58 (1998), 435–444.CrossRefGoogle Scholar
[4]Knieper, G., ‘Volume growth, entropy and the geodesic stretch’, Math. Res. Lett. 2 (1995), 39–58.Google Scholar
[5]Thurston, W.P., ‘Minimal stretch maps between hyperbolic surfaces’, (preprint).Google Scholar