Monotonicity Formulas for Bakry-Emery Ricci Curvature

preprint2013arXivOpen access

Abstract

Motivated and inspired by the recent work of Colding [5] and Colding-Minicozzi [6] we derive several families of monotonicity formulas for manifolds with nonnegative Bakry-Emery Ricci curvature, extending the formulas in [5, 6].

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