We give kinematic formulae for integral invariants of degree 2 for hypersurfaces in two point homogeneous spaces explicitly. The discussion here we use is a certain generalization of the transfer principle in integral geometry.
"Transferred Kinematic Formulae in Two Point Homogeneous Spaces." Tsukuba J. Math. 31 (2) 343 - 354, December 2007. https://doi.org/10.21099/tkbjm/1496165153