  Recent work of Chen He has determined through GKM methods the Borel
equivariant cohomology with rational coefficients of the isotropy action on a
real Grassmannian and an real oriented Grassmannian through GKM methods. In
this expository note, we propound a less involved approach, due essentially to
Vitali Kapovitch, to computing equivariant cohomology rings $H^*_K(G/H)$ for
$G,K,H$ connected Lie groups, and apply it to recover the equivariant
cohomology of the Grassmannians. The bulk is setup and commentary; once one
believes in the model, the proof itself is under a page.
