Equivariant min-max theory and the spherical Bernstein problem in ${\mathbb{S}}^4$

Tongrui Wang, Zhichao Wang, Xin Zhou

We construct an embedded non-equatorial minimal hypersphere in the unit $4$-sphere ${\mathbb{S}}^4$, which provides a new resolution of Chern's spherical Bernstein problem in $\mathb…