I want to calculate the distance between two points in [Siegel upper half space](https://en.wikipedia.org/wiki/Siegel_upper_half-space), but I do not know the explicit formula of the metric (which is invariant under the action of the real symplectic group). Can anyone tell me about that or just tell where I can find it? Thanks a lot!



Metric on Siegel upper half space
An explicit formula is given at the bottom of page 21 of [this PhD thesis](http://webpages.fc.ul.pt/~pjfreitas/pdfs/thesis.pdf).


