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arxiv: 1703.10528 · v1 · pith:XRRZFZBPnew · submitted 2017-03-30 · 🧮 math.MG · math.FA

Necessary subspace concentration conditions for the even dual Minkowski problem

classification 🧮 math.MG math.FA
keywords concentrationdualsubspacebodycdotconditionsconvexcurvature
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We prove tight subspace concentration inequalities for the dual curvature measures $\widetilde{\mathrm{C}}_q(K,\cdot)$ of an $n$-dimensional origin-symmetric convex body for $q\geq n+1$. This supplements former results obtained in the range $q\leq n$.

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