A note on complete hypersurfaces of non-positive Ricci curvature

G.H. Smith
1983 Bulletin of the Australian Mathematical Society  
In this note we point out that a recent result of Leung concerning hypersurfaces of a Euclidean space has a simple generalisation to hypersurfaces of complete simply-connected Riemannian manifolds of non-positive constant sectional curvature. The purpose of this note is to establish the following results. Proof. The case C = 0 has been proved by Leung [1]. We sketch the
doi:10.1017/s0004972700021067 fatcat:ydqofokfxjcmtf7y3xbbm435ze