Closed surfaces with minimal total absolute curvature in Cartan-Hadamard 3-manifolds bound flat convex bodies.
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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
Proves sharp total Gauss-Kronecker curvature inequality for convex hypersurfaces in Cartan-Hadamard manifolds with nullity index ≥ n-3 via Chern-Gauss-Bonnet, extending the isoperimetric inequality and proving the Cartan-Hadamard conjecture there.
citing papers explorer
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Total absolute curvature and rigidity of surfaces in Cartan-Hadamard manifolds
Closed surfaces with minimal total absolute curvature in Cartan-Hadamard 3-manifolds bound flat convex bodies.
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Isoperimetric and total curvature inequalities in Cartan-Hadamard manifolds with nullity
Proves sharp total Gauss-Kronecker curvature inequality for convex hypersurfaces in Cartan-Hadamard manifolds with nullity index ≥ n-3 via Chern-Gauss-Bonnet, extending the isoperimetric inequality and proving the Cartan-Hadamard conjecture there.