TL;DR
This paper surveys the classification of Riemannian metrics on spheres where all equators are minimal hypersurfaces, discussing related geometric problems.
Contribution
It provides a comprehensive survey of metrics on spheres with minimal equators and explores open problems in this geometric setting.
Findings
Classification of such metrics is well-developed
Identification of key open problems in the field
Connections to broader geometric theories
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.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Algebraic and Geometric Analysis