A mild generalization of almost-Schur lemma

Published 11 May 2011 in math.DG | (1105.2224v2)

Abstract: In this short note we establish an integral geometric inequality in a smooth metric measure space of the nonnegative Bakry-\'Emery Ricci curvature. This result can be regarded as a mild generalization of the almost Schur theorem due to De Lellis and Topping (Calc. Var., DOI: 10.1007/s00526-011-0413-z).

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Jia-yong Wu

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