In this paper we obtain the condition for the existence of Ricci solitons in non-flat quaternion space form by using Eisenhart problem. Also it is proved that if (g, V, λ) is Ricci soliton then V is solenoidal if and only if it is shrinking, steady and expanding depending upon the sign of scalar curvature. Further it is shown that Ricci soliton in semi-symmetric quaternion space form depends on quaternion sectional curvature c if V is solenoidal.

Keywords: quaternion Kä,hler manifolds, quaternion space form, parallel second order covariant tensor field, Einstein space, Ricci soliton