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Fathi Ben Aribi, Sylvain Courte, Marco Golla, Delphine Moussard,Multisections of higherdimensional manifolds, arXiv:2303 · 2023 · arXiv 2303.08779

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Existence of classical minimal surfaces in $4$ and $5$-manifolds

math.DG · 2026-06-23 · unverdicted · novelty 6.0

Every closed Riemannian 4- or 5-manifold admits a branched immersed closed minimal surface, obtained from a min-max sequence of sweepouts generated by multisections and refined by harmonic replacement.

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  • Existence of classical minimal surfaces in $4$ and $5$-manifolds math.DG · 2026-06-23 · unverdicted · none · ref 6

    Every closed Riemannian 4- or 5-manifold admits a branched immersed closed minimal surface, obtained from a min-max sequence of sweepouts generated by multisections and refined by harmonic replacement.