1 citations · 2 across the 4 of their papers we have counts for
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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…
Morse inequalities for the area functional
Fernando C. Marques, Rafael Montezuma, André Neves
In this article we prove the strong Morse inequalities for the area functional in codimension one, assuming that the ambient dimension satisfies , in both th…
Counting minimal surfaces in negatively curved 3-manifolds
Danny Calegari, Fernando C. Marques, André Neves
We introduced an asymptotic quantity that counts area-minimizing surfaces in negatively curved closed 3-manifolds and show that quantity to only be minimized, among all metrics of…
Morse index of multiplicity one min-max minimal hypersurfaces
Fernando C. Marques, André Neves
In this paper, we prove that the Morse index of a multiplicity one, smooth, min-max minimal hypersurface is generically equal to the dimension of the homology class detected by the…
Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature
Laurent Bessières, Gérard Besson, Sylvain Maillot +1
We prove that the moduli space of complete Riemannian metrics of bounded geometry and uniformly positive scalar curvature on an orientable 3-manifold is path-connected. This genera…