  Suppose that a compact quantum group Q acts faithfully and isomet- rically
(in the sense of [10]) on a smooth compact, oriented, connected Riemannian
manifold M . If the manifold is stably parallelizable then it is shown that the
compact quantum group is necessarily commutative as a C \ast algebra i.e. Q =
C(G) for some compact group G. Using this, it is also proved that the quantum
isometry group of Rieffel deformation of such manifold M must be a Rieffel-Wang
deformation of C(ISO(M))
