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Sharp systolic inequalities for rotationally symmetric 2-orbifolds (2108.13183v1)
Published 30 Aug 2021 in math.DG, math.DS, and math.SG
Abstract: We show that suitably defined systolic ratios are globally bounded from above on the space of rotationally symmetric spindle orbifolds and that the upper bound is attained precisely at so-called Besse metrics, i.e. Riemannian orbifold metrics all of whose geodesics are closed.
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