In three dimensions, infimum scalar curvature of a perturbed metric is at most the reference value at the origin plus C times the C0 norm to the power 1/2, for sufficiently small perturbations.
Capillary minimal slicing and scalar curvature rigidity
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Characterizations of stable and weakly stable minimal capillary surfaces with near-extreme capillary angles are given on minimal or positive-mean-curvature supports, using curvature estimates to analyze tangential limits.
citing papers explorer
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Quantification of $C^0$ Convergence in Dimension Three
In three dimensions, infimum scalar curvature of a perturbed metric is at most the reference value at the origin plus C times the C0 norm to the power 1/2, for sufficiently small perturbations.
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Tangential limits of stable minimal capillary surfaces
Characterizations of stable and weakly stable minimal capillary surfaces with near-extreme capillary angles are given on minimal or positive-mean-curvature supports, using curvature estimates to analyze tangential limits.