3 papers
math.DG2026
Closed minimal surfaces of index one in Riemannian manifolds
Fernando C. Marques, André Neves
In this paper we prove that an -manifold, compactly -enlargeable, where , has connected, immersed Morse index one, closed minimal hypersurfaces with un…
math.DG2026
Counting Minimal Lagrangians Via Mirzakhani Functions
Ben Lowe, Fernando C. Marques, André Neves
We show that for the number of genus minimal Lagrangians with area at most in a product of hyperbolic surfaces grows on the order of , with an explicit le…
math.DG2025
Minimal Surface Entropy and Average Area Ratio
Ben Lowe, Andre Neves
On any closed hyperbolizable 3-manifold, we find a sharp relation between the minimal surface entropy (introduced by Calegari-Marques-Neves) and the average area ratio (introduced…