On uniqueness of tangent cones for Einstein manifolds
Name
Colding_On uniqueness of tangent.pdf
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495.75 KB
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Author(s)
Colding, Tobias
Minicozzi, William
Date Issued
June 2013
Journal
Inventiones mathematicae
Publisher
Springer-Verlag
Citation
Colding, Tobias Holck, and William P. Minicozzi, II. “On uniqueness of tangent cones for Einstein manifolds.” Inventiones mathematicae (June 29, 2013).
Version
Original manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1007/s00222-013-0474-z
