On the Ricci curvature of steady gradient Ricci solitons

Assume (M-n, g) is a complete steady gradient Ricci soliton with positive Ricci curvature. If the scalar curvature approaches 0 towards infinity, we prove that integral(+infinity)(0) Rc((gamma) over dot(s), (gamma) over dot(s)) ds = root R(O), where O is the point where R obtains its maximum and gamma(s) is a minimal normal geodesic emanating from O. Some other results on the Ricci curvature are also obtained. (C) 2009 Elsevier Inc. All rights reserved.