Sharp quantitative stability is proved for the affine fractional L2-Sobolev inequality, identifying the affine Hessian kernel and showing the global stability constant is strictly smaller than the local spectral gap.
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Defines intrinsic Brown-York mass at infinity for hypersurfaces in 4D AF manifolds whose asymptotic expansion recovers ADM mass plus a shape-dependent correction that vanishes for nearly round surfaces under a decay condition.
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Sharp Stability for the Affine Fractional Sobolev Inequality
Sharp quantitative stability is proved for the affine fractional L2-Sobolev inequality, identifying the affine Hessian kernel and showing the global stability constant is strictly smaller than the local spectral gap.
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Intrinsic Brown--York Type Mass at Infinity in Four Dimensions
Defines intrinsic Brown-York mass at infinity for hypersurfaces in 4D AF manifolds whose asymptotic expansion recovers ADM mass plus a shape-dependent correction that vanishes for nearly round surfaces under a decay condition.