On uniqueness of tangent cones for Einstein manifolds
Author(s)Colding, Tobias; Minicozzi, William
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We show that for any Ricci-flat manifold with Euclidean volume growth the tangent cone at infinity is unique if one tangent cone has a smooth cross-section. Similarly, for any noncollapsing limit of Einstein manifolds with uniformly bounded Einstein constants, we show that local tangent cones are unique if one tangent cone has a smooth cross-section.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Colding, Tobias Holck, and William P. Minicozzi, II. “On uniqueness of tangent cones for Einstein manifolds.” Inventiones mathematicae (June 29, 2013).