abstract:In mathematics, a Riemannian manifold is said to be flat if its curvature is everywhere zero. Intuitively, a flat manifold is one that "locally looks like" Euclidean space in terms of distances and angles, e.
This paper studies the Schouten tensor on thelocallyconformallyflatmanifold, and gets somesufficientconditions for m to be the space of constant curvature, which improves the known results.