Geometry of real Grassmannian manifolds. VI

Using invariants of the canonical decomposition of the tangent vector of an arbitrary geodesic in the real Grassmannian variety $G_{p,n}^+$, we give a complete description of the set of conjugate points. For an arbitrary shortest curve, a nontrivial variation with fixed endpoints is constructed. The separation sets for the Grassmannian $G_{2,4}^+$ and its tangent bundle are found.