Abstract
Motivated and inspired by the recent work of Colding (Acta Math 209(2):229–263, 2012) and Colding and Minicozzi (Calc Var Partial Differ Equ 49(3–4):1045–1059, 2014) we derive several families of monotonicity formulas for manifolds with nonnegative Bakry–Emery Ricci curvature, extending the formulas in Colding (2012) and Colding and Minicozzi (2014).
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