4 problems

Let $(M,g)$) be a simple Riemannian manifold and let $f$ be a symmetric $m$-tensor field, written in local coordinates as … Define its geodesic ray transform by … where…

Let $(M,g)$ be a simple Riemannian manifold and let $f$ be a symmetric $2$-tensor field. Its geodesic ray transform is … where $\gamma:[0,l(\gamma)]\to M$ is a geodesic connecting…

Unitary attenuated ray transform conjecture. If

Gauge uniqueness conjecture. If