English

Spheres with minimal equators

Differential Geometry 2026-01-06 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2601.01565,
  title  = {Spheres with minimal equators},
  author = {Lucas Ambrozio},
  journal= {arXiv preprint arXiv:2601.01565},
  year   = {2026}
}

Comments

34 pages. Submitted for review

R2 v1 2026-07-01T08:49:58.084Z