Hilbert Metric in the Unit Ball
Hilbert Metric in the Unit Ball
The Hilbert metric between two points ๐ฅ, ๐ฆ in a bounded convex domain ๐บ is defined as the logarithm of the cross-ratio ๐ฅ, ๐ฆ and the intersection points of the Euclidean line passing through the points ๐ฅ, ๐ฆ and the boundary of the domain. Here, we study this metric in โฆ