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Title:

On the reverse Loomis-Whitney inequality

Document type:
Zeitschriftenaufsatz
Author(s):
Campi, S., P. Gritzmann and P. Gronchi
Abstract:
The present paper deals with the problem of computing (or at least estimating) the LW-number λ(n), i.e., the supremum of all γ such that for each convex body K in Rn there exists an orthonormal basis {u1,...,un} such that voln(K)n−1 ≥ γ n Y i=1 voln−1(K|u⊥ i ), where K|u⊥ i denotes the orthogonal projection of K onto the hyperplane u⊥ i perpendicular to ui. Any such inequality can be regarded as a reverse to the well-known classical Loomis– Whitney inequality. We present various results on such...     »
Journal title:
Discrete & Computational Geometry
Year:
2018
Journal issue:
60
Pages contribution:
115 - 144
Reviewed:
ja
Language:
en
Fulltext / DOI:
doi:10.1007/s00454-017-9949-9
E-ISSN:
1432-0444
Status:
Erstveröffentlichung
TUM Institution:
Lehrstuhl für Angewandte Geometrie und Diskrete Mathematik
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