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math.DG2026
Diastolic inequalities for the distance function min-max width of spheres
Rafael Montezuma, Idalina Ribeiro
In this article, we investigate inequalities involving the min-max width associated to the distance function and the area of two-dimensional Riemannian spheres. This geometric inva…
math.DG2025
The min-max width of spheres associated to the distance function
Rafael Montezuma, Idalina Ribeiro
What one obtains when the min-max methods for the distance function are applied on the space of pairs of points of a Riemannian two-sphere? This question is studied in details in t…