Title Almost Schur Lemma Publication Type Journal Article Year of Publication 2012 Authors De Lellis C., Topping P.M Journal Calculus of Variations and Partial Differential Equations Volume 43 Pagination 347–354 Publisher Springer Type of Article differential geometry ISSN 0944-2669 Abstract Schur?s lemma states that every Einstein manifold of dimension n ? 3 has constant scalar curvature. In this short note we ask to what extent the scalar curvature is constant if the traceless Ricci tensor is assumed to be small rather than identically zero. In particular, we provide an optimal L 2 estimate under suitable assumptions and show that these assumptions cannot be removed. Notes Calc. Var. 43 (2012) 347-354 URL http://www.springerlink.com/content/ev310858r7474j86/ DOI 10.1007/s00526-011-0413-z
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