Estimates of the Carathéodory metric on the symmetrized polydisc
arXiv:math/0608496
Abstract
Estimates for the Carathéodory metric on the symmetrized polydisc are obtained. It is also shown that the Carathéodory and Kobayashi distances of the symmetrized three-disc do not coincide.
12 pages. The missing inequality (1) is added in the second version