Glasnik matematički, Vol. 33 No. 2, 1998.
Izvorni znanstveni članak
On G-pseudo-centres of convex bodies
Maria Moszynska
Tomasz Zukowski
Sažetak
As it is well known, for every convex body A in Rn there is a unique centrally symmetric kernel, that is, a centrally symmetric convex body C ⊂ A with maximal n-volume. The paper concerns G-kernels of a convex body A for any subgroup G of O(n), i.e. G-invariant convex subsets of A with maximal n-volume. We prove that only for G generated by the central symmetry σ0 every A has a unique G-kernel. If A is strictly convex, then its G-kernel is unique for every G.
Ključne riječi
Convex body; G-invariant convex bod; , n-volume; G-kernel; G-pseudo-centre
Hrčak ID:
8190
URI
Datum izdavanja:
1.12.1998.
Posjeta: 702 *