In this paper we prove two inequalities relating the warping function to
various curvature terms, for warped products isometrically immersed in
Riemannian manifolds. This extends work of B. Y. Chen for the case of
immersions into space forms. Finally we give an application where the target
manifold is the Clifford torus.Comment: 10 pages, to appear in the Bulletin of the Australian Mathematical
Societ
