Necessary subspace concentration conditions for the even dual Minkowski problem

Necessary subspace concentration conditions for the even dual Minkowski problem

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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Veröffentlicht in:arXiv.org 2017-03
Hauptverfasser: Martin, Henk, Pollehn, Hannes
Format: Artikel
Sprache:eng
Schlagworte:
Differential geometry
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Zusammenfassung: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 \(q\leq n\).
ISSN:2331-8422