Necessary subspace concentration conditions for the even dual Minkowski problem

Martin Henk; Hannes Pollehn

Necessary subspace concentration conditions for the even dual Minkowski problem

Metric Geometry 2017-03-31 v1 Functional Analysis

Authors: Martin Henk , Hannes Pollehn

Abstract

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 $q\leq n$ .

Keywords

convex bodies convex geometry

Cite

@article{arxiv.1703.10528,
  title  = {Necessary subspace concentration conditions for the even dual Minkowski problem},
  author = {Martin Henk and Hannes Pollehn},
  journal= {arXiv preprint arXiv:1703.10528},
  year   = {2017}
}

Comments

24 pages. arXiv admin note: substantial text overlap with arXiv:1604.07390

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