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.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.