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arXiv · 1206.4929

On uniqueness of tangent cones for Einstein manifolds

Tobias Holck Colding·William P. Minicozzi II
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Abstract

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.

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Tobias Holck Colding, William P. Minicozzi II. 2012-06-21. On uniqueness of tangent cones for Einstein manifolds. https://arxiv.org/abs/1206.4929

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