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math.DG2026
A Model-threshold Dimension Bound and Sharp Critical Ends for Smooth Singular Sets of Constant Positive -curvature Metrics
Jiahuan Li, Yilu Liu, Xi-Nan Ma
Let satisfy , and let $Σ^p\subset\Sn^n$ be a closed smooth embedded submanifold. We prove that a complete conformal metric $g=v^{-2}g_{\Sn^n}$ on $\Sn^n\se…
math.DG2026
Bernstein-type theorem for stationary hypersurfaces of the Euler-Dierkes-Huisken functional
Hongbin Cui, Jiahuan Li, Xiaowei Xu
We say that a hypersurface is -stationary if it is a critical point of the Euler-Dierkes-Huisken functional $\mathcal{E}_α(Σ)=\int_Σ|X|^α\, d\mathcal{…