The extremal length systole of the Bolza surface

Abstract

We prove that the extremal length systole of genus two surfaces attains a strict local maximum at the Bolza surface, where it takes the value $\sqrt{2}$.

arXiv comment39 pages, 11 figures

References in corpus (4)

• Minimal-area metrics on the Swiss cross and punctured torus
• Systoles and kissing numbers of finite area hyperbolic surfaces
• The holomorphic couch theorem
• Comparing hyperbolic and extremal lengths for shortest curves