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Systoles des surfaces plates singulières de genre deux

Research paper by Stéphane Sabourau

Indexed on: 17 Feb '04Published on: 17 Feb '04Published in: Mathematische Zeitschrift



Abstract

The extremal metrics for the isosystolic problem on surfaces of genus two are studied in this paper. We show that, contrary to E. Calabi’s conjecture in genus three, no flat metric with conical singularities is extremal for this problem in genus two.