There are no exotic ladder surfaces
Nyckelord:
Quasiconformal mappings, quasiconformal homogeneity, Riemann surfaces, infinite-type surfacesAbstract
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).Referera så här
Basmajian, A., & Vlamis, N. G. (2022). There are no exotic ladder surfaces. Annales Fennici Mathematici, 47(2), 1007–1023. Hämtad från https://afm.journal.fi/article/view/120592
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