Algebras of invariant differential operators on unit sphere bundles over   two-point homogeneous Riemannian spaces
  Let $G$ be the identity component of the isometry group for an arbitrary curved two-point homogeneous space $M$. We consider algebras of $G$-invariant differential operators on bundles of unit spheres over $M$. The generators of this algebra and the corresponding relations for them are found. The connection of these generators with two-body problem on two-point homogeneous spaces is discussed. 
Alexey V. Shchepetilov