  It is shown by Colding and Minicozzi the uniqueness of the tangent cone at
infinity of Ricci-flat manifolds with Euclidean volume growth which has at
least one tangent cone at infinity with a smooth cross section. In this article
we raise an example of the Ricci-flat manifold implying that the assumption for
the volume growth in the above result is essential. More precisely, we
construct a complete Ricci-flat manifold of dimension 4 with non-Euclidean
volume growth who has at least two distinct tangent cones at infinity and one
of them has a smooth cross section.
