Abstract
We give a sharp lower bound for the scalar curvature of a steady gradient Ricci soliton in terms of the hyperbolic secant of the distance from a fixed point under the assumption that 2 | R c | 2 ≤ R 2 2|Rc|^2\leq R^2 , a condition that is satisfied by any steady gradient Ricci soliton with nonnegative sectional curvature.
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