Dynamics on Teichmüller Spaces and Self-covering of Riemann Surfaces

@inproceedings{FUJIKAWA2007DynamicsOT,
  title={Dynamics on Teichm{\"u}ller Spaces and Self-covering of Riemann Surfaces},
  author={EGE FUJIKAWA and Katsuhiko Matsuzaki and Masahiko Taniguchi},
  year={2007}
}
A non-injective holomorphic self-cover of a Riemann surface induces a non-surjective holomorphic self-embedding of its Teichmüller space. We investigate the dynamics of such self-embeddings by applying our structure theorem of self-covering of Riemann surfaces and examine the distribution of its isometric vectors on the tangent bundle over the Teichmüller space. We also extend our observation to quasiregular self-covers of Riemann surfaces and give an answer to a certain problem on… CONTINUE READING

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
1 Extracted Citations
20 Extracted References
Similar Papers

Citing Papers

Publications influenced by this paper.

Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 20 references

Amenability

  • C. McMullen
  • Poincaré series and quasiconformal maps, Invent…
  • 1989
Highly Influential
7 Excerpts

Conformal dynamical system

  • D. Sullivan
  • In: Geometric Dynamics, Lect. Notes Math. 1007…
  • 1983
Highly Influential
3 Excerpts

Recurrent and periodic points for isometries of L∞ spaces

  • E. Fujikawa, K. Matsuzaki
  • Indiana Univ. Math. J. 55
  • 2006
1 Excerpt

Holomorphic Dynamics

  • S. Morosawa, Y. Nishimura, M. Taniguchi, T. Ueda
  • Cambridge Univ. Press
  • 1999
1 Excerpt

Quasiconformal Teichmüller Theory

  • F. Gardiner, N. Lakic
  • Math. Survey and Mono. 76, American Mathematical…
  • 1999
1 Excerpt

Hyperbolic Complex Spaces

  • S. Kobayashi
  • Springer
  • 1998
2 Excerpts

Geometric isomorphisms between infinite dimensional Teichmüller spaces

  • C. Earle, F. Gardiner
  • Trans. Amer. Math. Soc. 348
  • 1996
2 Excerpts

Similar Papers

Loading similar papers…