A lower bound for the scalar curvature of noncompact nonflat Ricci shrinkers
classification
🧮 math.DG
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noncompactcurvaturenonflatresultricciscalarshrinkersbound
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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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