Algebraic nature of singular Riemannian foliations in spheres

TL;DR

This paper demonstrates that singular Riemannian foliations in spheres are algebraically definable through polynomial equations, revealing their algebraic structure.

Contribution

It establishes that such foliations can be characterized algebraically, a novel insight linking geometric and algebraic properties.

Findings

Singular Riemannian foliations in spheres are polynomially definable.

The result bridges geometric foliation theory with algebraic geometry.

Provides a new perspective on the structure of foliations in spherical spaces.

Abstract

We prove that singular Riemannian foliations in Euclidean spheres can be defined by polynomial equations.