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A lower bound for the scalar curvature of noncompact nonflat Ricci shrinkers

Differential Geometry 2011-02-03 v1

Abstract

We show that recent work of Ni and Wilking yields the result that a noncompact nonflat Ricci shrinker has at most quadratic scalar curvature decay. The examples of noncompact K\"{a}hler--Ricci shrinkers by Feldman, Ilmanen, and Knopf exhibit that this result is sharp.

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Cite

@article{arxiv.1102.0548,
  title  = {A lower bound for the scalar curvature of noncompact nonflat Ricci shrinkers},
  author = {Bennett Chow and Peng Lu and Bo Yang},
  journal= {arXiv preprint arXiv:1102.0548},
  year   = {2011}
}

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2 pages