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math.DG 1

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Convex Algebraic Geometry of Curvature Operators

math.DG · 2019-08-10 · conditional · novelty 7.0

The set of algebraic curvature operators with sectional curvature at least k is a spectrahedron only up to dimension 3, a spectrahedral shadow in dimension 4, and not a spectrahedral shadow from dimension 5 onward, with algorithms for membership testing.

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  • Convex Algebraic Geometry of Curvature Operators math.DG · 2019-08-10 · conditional · none · ref 1998

    The set of algebraic curvature operators with sectional curvature at least k is a spectrahedron only up to dimension 3, a spectrahedral shadow in dimension 4, and not a spectrahedral shadow from dimension 5 onward, with algorithms for membership testing.