In this paper, generalised cross--ratios are defined in all cases of hyperbolic spaces besides the octonionic case.

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József Szilasi

Dear Ioannis,

In the context of Moufang planes, see:

http://emis.dsd.sztaki.hu/journals/BJGA/5.2/celik.pdf

Best regards

Jozsef Szilasi

Ioannis D. Platis

Dear Jozsef,

thanks!

Following the advice of Jozsef Szilasi, I realised that there exist relative papers by Celic, Ciftci et. al., see for instance here

http://www.ams.org/mathscinet/search/publications.html?pg1=IID&s1=49445