F. C. Marques

activity

20092026

most citedRigidity of min-max minimal spheres in three-manifolds

42 citations · 81 across the 16 of their papers we have counts for

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3 papers · 1 filter

math.DG2026

Rigidity and non-rigidity of the stable norm on $T^{n}$

Fernando C. Marques, André Neves, Ao Sun

We show that the stable norm of flat metrics on $H_{d} (T^{n}, R)$ is locally rigid if $1 \leq d < n - 1$ and locally rigid among metrics of the same volume if $d = n - 1$ . We also sho…

math.DG2026

Closed minimal surfaces of index one in Riemannian manifolds

Fernando C. Marques, André Neves

In this paper we prove that an $(n + 1)$ -manifold, compactly $n$ -enlargeable, where $3 \leq (n + 1) \leq 7$ , 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 $k > 1$ the number of genus $k$ minimal Lagrangians with area at most $A$ in a product of hyperbolic surfaces grows on the order of $A^{6 (k - 1)}$ , with an explicit le…

Rigidity and non-rigidity of the stable norm on Tn

Closed minimal surfaces of index one in Riemannian manifolds

Counting Minimal Lagrangians Via Mirzakhani Functions

Rigidity and non-rigidity of the stable norm on $T^{n}$