Closed n-manifolds with diam² sec ≥ -κ and diam² Ric ≥ -δ (δ small depending on n,κ) fiber over a b1(M)-torus, removing the upper sectional curvature bound from Yamaguchi's prior result.
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Existence, Lipschitz regularity, and almost-(N-1)-manifold structure of free boundaries are proved for one-phase Bernoulli problems on non-collapsed RCD(K,N) spaces.
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One-phase Free Boundary Problems on RCD Metric Measure Spaces
Existence, Lipschitz regularity, and almost-(N-1)-manifold structure of free boundaries are proved for one-phase Bernoulli problems on non-collapsed RCD(K,N) spaces.