Xuanyu Li

most citedMinkowski content estimates for generic area minimizing hypersurfaces

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math.DG2026

Existence of constant mean curvature surfaces with controlled topology in 3-manifolds

Filippo Gaia, Xuanyu Li

We establish the existence of a non-trivial, branched immersion of a closed Riemann surface $Σ$ with constant mean curvature (CMC) $H$ into any closed, orientable 3-manifold $\math…

math.DG2023★ 1 cited

Minkowski content estimates for generic area minimizing hypersurfaces

Xuanyu Li

Let $Γ$ be a smooth, closed, oriented, $(n - 1)$ -dimensional submanifold of $R^{n + 1}$ . It was shown by Chodosh-Mantoulidis-Schulze that one can perturb $Γ$ to a nearby $Γ^{'}$ …