The nonuniqueness of the tangent cone at infinity of Ricci-flat manifolds

Kota Hattori

For a complete Riemannian manifold (M,g), the pointed Gromov-Hausdorff limit of (M, r^2g, p) as r to 0 is called a tangent cone at infinity, if it exists. By the Gromov's Compactness Theorem, there is a tangent cone at infinity for every complete Riemannian manifolds with nonnegative Ricci curvatures. Moreover if it is Ricci-flat, with Euclidean volume growth and having at least one tangent cone at infinity with a smooth cross section,

http://scgp.stonybrook.edu/video_portal/video.php?id=2360

Simons- Workshop: Riemannian Convergence Theory