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Sp(2)-invariant expanders and shrinkers in Laplacian flow

math.DG · 2025-01-09 · conditional · novelty 7.0

All complete Sp(2)-invariant Laplacian expanders on the anti-self-dual bundle of S⁴ form one 1-parameter family, are asymptotically conical with rate -2, and are uniquely determined by their asymptotic cone, which ranges exactly over cones with warping ℓ > 1.

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  • Sp(2)-invariant expanders and shrinkers in Laplacian flow math.DG · 2025-01-09 · conditional · none · ref 2

    All complete Sp(2)-invariant Laplacian expanders on the anti-self-dual bundle of S⁴ form one 1-parameter family, are asymptotically conical with rate -2, and are uniquely determined by their asymptotic cone, which ranges exactly over cones with warping ℓ > 1.