Bounded geometry with no bounded pants decomposition.

Autor: Basmajian, Ara, Parlier, Hugo, Vlamis, Nicholas G.
Zdroj: Israel Journal of Mathematics; Apr2024, Vol. 260 Issue 1, p235-260, 26p
Abstrakt: We construct a quasiconformally homogeneous hyperbolic Riemann surface—other than the hyperbolic plane—that does not admit a bounded pants decomposition. Also, given a connected orientable topological surface of infinite type with compact boundary components, we construct a complete hyperbolic metric on the surface that has bounded geometry but does not admit a bounded pants decomposition. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index