min-max theory 1quantitative dimension 1riemannian geometry 1sweepouts 1width invariants 1zoll spheres 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.DG2026
Ambient geometry via min-max widths of embedded circles
Lucas Ambrozio, Ivan Miranda, Rafael Montezuma
The paper establishes bounds for min‑max invariants of Riemannian spheres using the widths of embedded circles, introduces a technique to derive sweepouts of point pairs from curve…
math.DG2025
The width of embedded circles
Lucas Ambrozio, Rafael Montezuma, Roney Santos
We develop a Morse-Lusternik-Schnirelmann theory for the distance between two points of a smoothly embedded circle in a complete Riemannian manifold. This theory suggests very natu…
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…