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

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

2011-02-02

arxiv.org/abs/1102.0548v1

Mathematics

Differential Geometry

2 pages

Scientific paper

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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