5 papers · 1 filter
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…
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…
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…
Rigidity theorems for the area widths of Riemannian manifolds
Lucas Ambrozio, Fernando C. Marques, André Neves
The volume spectrum of a compact Riemannian manifold is a sequence of critical values for the area functional, defined in analogy with the Laplace spectrum by Gromov. In this paper…
Conformal currents and the entropy of negatively curved three-manifolds
Fernando C. Marques, André Neves, André Neves
In this paper, we describe the intersection between geodesic and conformal currents on closed hyperbolic three-manifolds. We use this to prove some sharp bounds which involve the L…