Global existence of small equivariant wave maps on rotationally symmetric manifolds (Q2797850)

In the interesting paper under review, the authors introduce a class of rotationally invariant manifolds, called admissible, on which the wave flow satisfies smoothing and Strichartz estimates. Global existence of equivariant wave maps from admissible manifolds to general targets is obtained for small initial data of critical regularity \(H^{n/2}\). The class of admissible manifolds includes in particular asymptotically flat manifolds and perturbations of real hyperbolic spaces \(\mathbb{H}^n\) for \(n\geq3\).