2 problems

Let $(M,g)$ be a smooth Riemannian manifold of Anosov type. For symmetric $m$-tensors, let $I_m^g$ be the X-ray transform, and call it solenoidal injective when … Here $D_g$ is the…

Let $(M,g)$ be a compact nontrapping surface with strictly convex boundary. For a smooth symmetric $m$-tensor field $f$ on $M$, let $I_m f$ denote its ray transform. A tensor field…