Kodai Mathematical Journal

Rigidity of closed metric measure spaces with nonnegative curvature

Jia-Yong Wu

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).

Article information

Source
Kodai Math. J., Volume 39, Number 3 (2016), 489-499.

Dates
First available in Project Euclid: 2 November 2016

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1478073766

Digital Object Identifier
doi:10.2996/kmj/1478073766

Mathematical Reviews number (MathSciNet)
MR3567227

Zentralblatt MATH identifier
1355.53037

Citation

Wu, Jia-Yong. Rigidity of closed metric measure spaces with nonnegative curvature. Kodai Math. J. 39 (2016), no. 3, 489--499. doi:10.2996/kmj/1478073766. https://projecteuclid.org/euclid.kmj/1478073766