The extremal length systole of the Bolza surface

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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mn>2</mml:mn> </mml:msqrt> </mml:math> .

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Publication Details

Journal
Annales Henri Lebesgue
Published
2025-02-07
DOI
https://doi.org/10.5802/ahl.223
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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article

The extremal length systole of the Bolza surface

Maxime Fortier Bourque, Dídac Martínez‐Granado, Franco Vargas Pallete
Annales Henri Lebesgue
Geometric Analysis and Curvature Flows
article

The extremal length systole of the Bolza surface

Maxime Fortier Bourque, Dídac Martínez‐Granado, Franco Vargas Pallete
article en

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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mn>2</mml:mn> </mml:msqrt> </mml:math> .

Annales Henri LebesgueVol. 7
Openalex Percentile: Top 96%
Geometric Analysis and Curvature Flows
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The extremal length systole of the Bolza surface — Maxime Fortier Bourque, Dídac Martínez‐Granado, et al. · Annales Henri Lebesgue (2025) | TGRS Research Map | TGRS