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math.DG2026
Counterexamples to prescribed scalar curvature in the null case
Yuxiang Li, Yunqing Wu, Jie Zhou
We construct smooth functions on the flat torus that change sign and have negative mean but cannot be realized as the scalar curvature of any metric in the giv…
math.DG2026
Linear Quantitative Rigidity for Almost-CMC Surfaces
Yuchen Bi, Jie Zhou
We prove a quantitative rigidity result for almost constant mean curvature spheres in . Under a sub--two--sphere Willmore bound and a small --CMC defect, we show…