Sphere packing bounds in the Graßmann and Stiefel manifolds

With methods from Riemannian geometry bounds for the minimal distance of packings in the Graßmann and Stiefel manifolds will be derived and analysed, revealing implications for certain aspects of coding theory. Though motivated from coding theory on the Graßmann and Stiefel manifolds, the method can be generalised to arbitrary Riemannian homogeneous spaces as well.