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Tongrui Wang, Zhichao Wang, Xin Zhou, Equivariant min-max theory, the spherical bernstein pro blem in S4 ( · 2026 · arXiv 2602.03984

4 Pith papers cite this work. Polarity classification is still indexing.

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fields

math.DG 4

years

2026 4

verdicts

UNVERDICTED 3 ACCEPT 1

representative citing papers

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

math.DG · 2026-06-30 · unverdicted · novelty 8.0

Constructs infinitely many embedded minimal S^1-bundles in S^4 of distinct topological types, including minimal embeddings of S^1 times odd-genus surfaces, via equivariant min-max theory and suspended weighted Hopf action.

Topology of minimal surfaces in the sphere from capillarity

math.DG · 2026-04-06 · unverdicted · novelty 7.0

A capillary interpolation framework produces new minimal surfaces in spheres as non-trivial sphere bundles over base spaces including Stiefel manifolds, projective planes over division algebras, and Lie group quotients, with uniqueness for rotationally symmetric cases.

Infinite existence of equivariant minimal hypersurfaces

math.DG · 2026-04-15 · unverdicted · novelty 6.0

Closed Riemannian manifolds with compact isometric group actions contain infinitely many invariant minimal hypersurfaces, and under a finiteness assumption each G-homology class contains infinitely many distinct embedded realizations.

citing papers explorer

Showing 4 of 4 citing papers.

  • Embedded minimal $S^1$-bundles in $\mathbb{S}^4$ math.DG · 2026-06-30 · unverdicted · none · ref 57

    Constructs infinitely many embedded minimal S^1-bundles in S^4 of distinct topological types, including minimal embeddings of S^1 times odd-genus surfaces, via equivariant min-max theory and suspended weighted Hopf action.

  • Existence of two embedded minimal spheres in $S^3$ with an arbitrary metric math.DG · 2026-07-09 · accept · none · ref 38

    Every Riemannian manifold diffeomorphic to S^{3} contains at least two distinct embedded minimal 2-spheres.

  • Topology of minimal surfaces in the sphere from capillarity math.DG · 2026-04-06 · unverdicted · none · ref 11

    A capillary interpolation framework produces new minimal surfaces in spheres as non-trivial sphere bundles over base spaces including Stiefel manifolds, projective planes over division algebras, and Lie group quotients, with uniqueness for rotationally symmetric cases.

  • Infinite existence of equivariant minimal hypersurfaces math.DG · 2026-04-15 · unverdicted · none · ref 46

    Closed Riemannian manifolds with compact isometric group actions contain infinitely many invariant minimal hypersurfaces, and under a finiteness assumption each G-homology class contains infinitely many distinct embedded realizations.