There are no exotic ladder surfaces

Kirjoittajat

  • Ara Basmajian City University of New York, The Graduate Center, Department of Mathematics; and City University of New York, Hunter College, Department of Mathematics
  • Nicholas G. Vlamis City University of New York, The Graduate Center, Department of Mathematics; and City University of New York, Queens College, Department of Mathematics

Avainsanat:

Quasiconformal mappings, quasiconformal homogeneity, Riemann surfaces, infinite-type surfaces

Abstrakti

It is an open problem to provide a characterization of quasiconformally homogeneous Riemann surfaces. We show that given the current literature, this problem can be broken into four open cases with respect to the topology of the underlying surface. The main result is a characterization in one of these open cases; in particular, we prove that every quasiconformally homogeneous ladder surface is quasiconformally equivalent to a regular cover of a closed surface (or, in other words, there are no exotic ladder surfaces).
Numero
Vol 47 Nro 2 (2022)
Osasto
Articles

Julkaistu

2022-07-12

Viittaaminen

Basmajian, A., & Vlamis, N. G. (2022). There are no exotic ladder surfaces. Annales Fennici Mathematici, 47(2), 1007–1023. Noudettu osoitteesta https://afm.journal.fi/article/view/120592

Copyright (c) 2022 Annales Fennici Mathematici

Creative Commons License

Tämä työ on lisensoitu Creative Commons Nimeä-EiKaupallinen 4.0 Kansainvälinen Julkinen -lisenssillä.