Jiang, De Shuo et al., A kinematic formula for integral invariant of degree 4 in real space form, Acta mathematica Sinica. English series (Print) , 30(8), 2014, pp. 1465-1476
In this paper, kinematic formulae in a real space form are investigated. A kinematic formula for homogeneous polynomial of degree 4 on the second fundamental forms in a real space form is obtained. The formula obtained is a concrete form of the result of Howard and the analogue of the known formula of Chen and Zhou.