Systoles on punctured spheres

2025/04/15 by Baader, Sebastian, Jörg, Jasmin
#30F10 #53C22 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2504.11175

Abstract

We determine the maximal number of systoles among all spheres with n punctures endowed with a complete Riemannian metric of finite area.

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