most citedSharp systolic inequalities for rotationally symmetric 2-orbifolds

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math.DG2021★ 1 cited

Sharp systolic inequalities for rotationally symmetric 2-orbifolds

Christian Lange, Tobias Soethe

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 precisel…

math.DG2020★ 1 cited

Homologically visible closed geodesics on complete surfaces

Simon Allais, Tobias Soethe

In this article, we give multiple situations when having one or two geometrically distinct closed geodesics on a complete Riemannian cylinder or a com…