A note on the shrinking sector problem for surfaces of variable negative curvature
A note on the shrinking sector problem for surfaces of variable negative curvature
Given the universal cover Ṽ for a compact surface V of variable negative curvature and a point x̃ 0 ∈ Ṽ, we consider the set of directions $${\widetilde v_0} \in {S_{\widetilde {{x_0}}}}\widetilde V$$ for which a narrow sector in the direction ṽ, and chosen to have unit area, contains exactly …