Abstract
We show that one-dimensional circle is the only case for closed smooth metric measure spaces with nonnegative Bakry-Émery Ricci curvature whose spectrum of the weighted Laplacian has an optimal positive upper bound. This result extends the work of Hang-Wang in the manifold case (Int. Math. Res. Not. 18 (2007), Art. ID rnm064, 9pp).
Citation
Jia-Yong Wu. "Rigidity of closed metric measure spaces with nonnegative curvature." Kodai Math. J. 39 (3) 489 - 499, October 2016. https://doi.org/10.2996/kmj/1478073766
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