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Dual Mean Minkowski Measures and the Grünbaum Conjecture for Affine Diameters
| Content Provider | Semantic Scholar |
|---|---|
| Author | Guo, Qi Tóth, Gábor |
| Copyright Year | 2015 |
| Abstract | For a convex body C in a Euclidean vector space X of dimension n (≥ 2), we define two sub-arithmetic monotonic sequences {σC,k}k≥1 and {σo C,k}k≥1 of functions on the interior of C. The k-th members are “mean Minkowski measures in dimension k” which are pointwise dual: σo C,k(O) = σCO,k(O), where O ∈ int C, and CO is the dual (polar) of C with respect to O. They are measures of (anti-)symmetry of C in the following sense: 1 ≤ σC,k(O), σ C,k(O) ≤ k + 1 2 . This work including the stay of the second author in Suzhou, China, in January 2015, was supported by the NSF China, No. 11271282. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://math.camden.rutgers.edu/files/Dual-Mean.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Diameter (qualifier value) Dual IBM Notes Nephrogenic Systemic Fibrosis |
| Content Type | Text |
| Resource Type | Article |
