2 papers
math.DG2026
Spheres with minimal equators
Lucas Ambrozio
We survey the classification of the Riemannian metrics on spheres with respect to which all equators are minimal hypersurfaces, and discuss problems related to these geometries.
math.DG2025
Equivariant constructions of spheres with Zoll families of minimal spheres
Lucas Ambrozio, Diego Guajardo
We construct one-parameter deformations of the Euclidean sphere inside that admit a Zoll family of codimension one embedded minimal spheres, in al…