Complete two-sided stable minimal hypersurfaces in R^4 are hyperplanes, established via new gradient estimates for the Green kernel under spectral Ricci bounds.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Proves new criticality and splitting theorems for operators with spectral Ricci bounds, then classifies 1/3-stable minimal hypersurfaces in R^4 as one-ended or catenoids and δ-stable ones with δ>1/3 as hyperplanes.
citing papers explorer
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Gradient estimates for the Green kernel under spectral Ricci bounds, and the stable Bernstein theorem in $\mathbb{R}^4$
Complete two-sided stable minimal hypersurfaces in R^4 are hyperplanes, established via new gradient estimates for the Green kernel under spectral Ricci bounds.
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Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces
Proves new criticality and splitting theorems for operators with spectral Ricci bounds, then classifies 1/3-stable minimal hypersurfaces in R^4 as one-ended or catenoids and δ-stable ones with δ>1/3 as hyperplanes.