13 citations · 22 across the 4 of their papers we have counts for
4 papers
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…
The Willmore conjecture
Fernando C. Marques, André Neves
The Willmore conjecture, proposed in 1965, concerns the quest to find the best torus of all. This problem has inspired a lot of mathematics over the years, helping bringing togethe…
Minimal surfaces - variational theory and applications
Fernando Coda Marques
Minimal surfaces are among the most natural objects in Differential Geometry, and have been studied for the past 250 years ever since the pioneering work of Lagrange. The subject i…
Scalar curvature rigidity of geodesic balls in S^n
S. Brendle, F. C. Marques
In this paper, we prove a scalar curvature rigidity result for geodesic balls in S^n. This result contrasts sharply with the recent counterexamples to Min-Oo's conjecture for the h…