Complete embedded minimal hypersurfaces in R^4 with bounded second fundamental form and finite second Betti number are proper.
Stable minimal hypersurfaces in $\mathbf{R}^4$
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abstract
We prove that a complete, two-sided, stable minimal immersed hypersurface in $\mathbf{R}^{4}$ is flat.
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math.DG 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
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Calabi-Yau Conjecture for Minimal Hypersurfaces in $\mathbb{R}^4$ with bounded geometry
Complete embedded minimal hypersurfaces in R^4 with bounded second fundamental form and finite second Betti number are proper.