Abstract & Overview
A disaffinity vector on a pseudo-Riemannian manifold is a vector field whose affinity tensor vanishes identically. In this article, we present several known results on disaffinity vector fields from two earlier joint papers. Furthermore, we present some of their applications to Riemannian geometry and soliton theory. In the last section of this article, we present ten important vector fields on Riemannian (or pseudo-Riemannian) manifolds. Then we explain their applications across various scientific and engineering disciplines.