Determination of a Riemannian manifold from the distance difference functions

Matti Lassas, Teemu Saksala

Let $(N,g)$ be a Riemannian manifold with the distance function $d(x,y)$ and an open subset $M\subset N$. For $x\in M$ we denote by $D_x$ the distance difference function $D_x:F\ti…