Weighted Strichartz estimates for the Schrödinger and wave equations on Damek–Ricci spaces

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The wave equation on hyperbolic spaces (2010, background): “In [29] Pierfelice derived Strichartz estimates for the wave equation (3) with radial data on a class of Riemannian manifolds containing all hyperbolic spaces.”
On the global well-posedness of energy-critical Schr\"odinger equations in curved spaces (2010, background): “This heuristic can be made precise, see [2, 5, 6, 7, 8, 9, 19, 37, 45] for theorems concerning subcritical nonlinear Schrödinger equations in hyperbolic spaces (or other spaces that interpolate between Euclidean and hyperbolic spaces).”
Semilinear Schrödinger flows on hyperbolic spaces: scattering in H1 (2008, background): “11) or Proposition 3, for radial functions these were already proved in [4, 7, 36, 6]).”