Sharp systolic inequalities for rotationally symmetric 2-orbifolds

Christian Lange; Tobias Soethe

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arXiv · 2108.13183

Sharp systolic inequalities for rotationally symmetric 2-orbifolds

Christian Lange·Tobias Soethe

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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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Christian Lange, Tobias Soethe. 2021-08-30. Sharp systolic inequalities for rotationally symmetric 2-orbifolds. https://arxiv.org/abs/2108.13183

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