1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.DG2024★ 1 cited
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…
math.DG2024
The intrinsic metric of constant mean curvature surfaces and minimal hypersurfaces with free boundary
Lucas Ambrozio
Ricci-Curbastro established necessary and sufficient conditions for a Riemannian metric on a surface to be the first fundamental form of a minimal immersion of that surface into th…
math.DG2021★ 1 cited
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…