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A note on nonnegative Bakry–Émery Ricci curvature

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Abstract

In this note, we show that if M n is a nonnegatively Bakry–Émery-Ricci curved manifold with bounded potential function, any finitely generated subgroup of the fundamental group of M has polynomial growth of degree less than or equal to n.

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  1. Chern Institute of Mathematics, Nankai University, 94 Weijin Road, 300071, Tianjin, China

    Ning Yang

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  1. Ning Yang
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Yang, N. A note on nonnegative Bakry–Émery Ricci curvature. Arch. Math. 93, 491–496 (2009). https://doi.org/10.1007/s00013-009-0062-z

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  • DOI: https://doi.org/10.1007/s00013-009-0062-z

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