Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-26T04:53:18.726Z Has data issue: false hasContentIssue false

ON INFINITESIMAL TEICHMÜLLER SPACE

Published online by Cambridge University Press:  01 October 2008

FAN JINHUA*
Affiliation:
Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China (email: jinhuafan@hotmail.com)
CHEN JIXIU
Affiliation:
School of Mathematical Sciences, Fudan University, Shanghai, 200433, People’s Republic of China
*
For correspondence; e-mail: jinhuafan@hotmail.com
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Much research has been done on the geometry of Teichmüller space and Hamilton sequences of extremal Beltrami differentials. This paper discusses some problems concerning infinitesimal Teichmüller geodesic discs and Hamilton sequences of extremal Beltrami differentials in the tangent space of an infinite-dimensional Teichmüller space.

Type
Research Article
Copyright
Copyright © 2008 Australian Mathematical Society

Footnotes

This work was supported by the Chinese NNSF grant no. 10571028.

References

[1]Božin, V., Lakic, N., Marković, V. and Mateljević, M., ‘Unique extremality’, J. Anal. Math. 75 (1998), 299338.Google Scholar
[2]Fan, J. and Chen, J., ‘On the equivalence of extremal Teichmüller mapping’, Sci. China. Ser. A 51 (2008), preprintGoogle Scholar
[3]Gardiner, F. P., ‘Approximation of infinite dimension Teichmüller spaces’, Trans. Amer. Math. Soc. 282 (1984), 367383.Google Scholar
[4]Gardiner, F. P., Teichmüller Theory and Quadratic Differentials (Wiley-Interscience, New York, 1987).Google Scholar
[5]Gardiner, F. P. and Lakic, N., Quasiconformal Teichmüller Theory, Mathematical Surveys and Monographs, 76 (American Mathematical Society, Providence, RI, 2000).Google Scholar
[6]Lakic, N., ‘Strebel points’, Contemp. Math. 211 (1997), 417431.Google Scholar
[7]Li, Z., ‘Strebel differentials and Hamilton sequences’, Sci. China Ser. A 44 (2001), 969979.CrossRefGoogle Scholar
[8]Li, Z., ‘Geodesics disks in Teichmüller space’, Sci. China Ser. A 48 (2005), 10751082.Google Scholar
[9]Shen, Y., ‘On Teichmüller geometry’, Complex Var. Theory Appl. 44 (2001), 7383.Google Scholar
[10]Shen, Y., ‘A note on Hamilton sequences for extremal Beltrami coefficients’, Proc. Amer. Math. Soc. 129 (2001), 105109.Google Scholar
[11]Yao, G., ‘Is there always an extremal Teichmüller mapping’, J. Anal. Math. 94 (2004), 363375.CrossRefGoogle Scholar