Tong Wang

collaborators

4 papers

math.DG2026

Embedded minimal $S^{1}$ -bundles in $S^{4}$

Tongrui Wang

We construct infinitely many embedded minimal hypersurfaces of pairwise distinct irreducible topological types in the unit $4$ -sphere $S^{4}$ , which provides a new answer to…

math.DG2026

Infinite existence of equivariant minimal hypersurfaces

Xingzhe Li, Tongrui Wang

For a closed Riemannian manifold $M$ with a compact Lie group $G$ acting by isometries, we show that there are infinitely many $G$ -invariant minimal hypersurfaces. Under the assump…

math.DG2026

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

Tongrui Wang, Zhichao Wang, Xin Zhou

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

math.DG2026

Multiplicity one for equivariant min-max theory in prescribed homology classes

Tongrui Wang

For a closed Riemannian manifold $M$ with a compact Lie group $G$ acting by isometries, we show a generic multiplicity one theorem in equivariant min-max theory, and show in generi…

Embedded minimal S1-bundles in S4

Infinite existence of equivariant minimal hypersurfaces

Equivariant min-max theory and the spherical Bernstein problem in S4

Multiplicity one for equivariant min-max theory in prescribed homology classes

Embedded minimal $S^{1}$ -bundles in $S^{4}$

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