Explicit fundamental gap estimates for some convex domains in ${\mathbb{H}}^2$

Theodora Bourni, Julie Clutterbuck, Xuan Hien Nguyen +3

Motivated by an example of Shih, we compute the fundamental gap of a family of convex domains in the hyperbolic plane ${\mathbb{H}}^2$, showing that for some of them $λ_2 - λ_1 < \fra…