Unique continuation of weakly conformal mappings between Riemannian manifolds
A smooth map \(\phi: M \rightarrow N\) between two Riemannian manifolds \((M,g)\) and \((N,h)\) is called weakly conformal if \(\phi^* h=\lambda g\) for a smooth and non-negative function \(\lambda.\) If the dimensions of \(M\) and \(N\) coincide, it is shown that \(\phi\) satisfies the unique continuation property, i.e., the map \(\phi\) is constant if the conformal factor \(\lambda\) vanishes at a point \(p\) to infinite order.
scientific article; zbMATH DE number 894662
scientific article