Spheres with minimal equators

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.

Authors

Publication Details

Journal
São Paulo Journal of Mathematical Sciences
Published
2026-07-16
DOI
https://doi.org/10.1007/s40863-026-00548-0
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00

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Spheres with minimal equators

Lucas Ambrozio
São Paulo Journal of Mathematical Sciences
Geometric Analysis and Curvature Flows
article

Spheres with minimal equators

Lucas Ambrozio
article en

Abstract

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.

São Paulo Journal of Mathematical SciencesVol. 20(2)
Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro
Reduced inequalities
Openalex Percentile: Top 5%
Geometric Analysis and Curvature Flows
DOIOpen Access PDFOpenAlex
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