For small area-constrained Willmore surfaces, an adapted geometric center of mass satisfies |∇Sc(p0)| ≤ C area, improving the previous C sqrt(area) bound and implying the enclosed region contains a single critical point of scalar curvature.
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Refined position estimates for surfaces of Willmore type in Riemannian manifolds
For small area-constrained Willmore surfaces, an adapted geometric center of mass satisfies |∇Sc(p0)| ≤ C area, improving the previous C sqrt(area) bound and implying the enclosed region contains a single critical point of scalar curvature.