51 citations · 297 across the 29 of their papers we have counts for
37 papers
Rigidity and non-rigidity of the stable norm on
Fernando C. Marques, André Neves, Ao Sun
We show that the stable norm of flat metrics on is locally rigid if and locally rigid among metrics of the same volume if . We also sho…
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…
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
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…
Riemannian metrics on the sphere with Zoll families of minimal hypersurfaces
Lucas Ambrozio, Fernando C. Marques, André Neves
In this paper we construct smooth Riemannian metrics on the sphere which admit smooth Zoll families of minimal hypersurfaces. This generalizes a theorem of Guillemin for the case o…