  In this paper we have proved that a compact Riemannian manifold does not
admit a metric with positive scalar curvature if there exists a real valued
function in this manifold which is strictly positive along a geodesic ray
satisfying expanding or steady Yamabe soliton. We have also deduced a relation
between scalar curvature and surface area of a geodesic ball in a Riemannian
manifold with a pole satisfying steady Yamabe soliton.
