Abstract
In this paper, we prove that a complete manifold whose m-Bakry-Émery curvature satisfies
Ricf,m(x) ≥ −(m − 1) $\frac{K_0}{(1+r(x))^2}$
for some constant K0 < $-\frac{1}{4}$ should be compact. We also get an upper bound estimate for the diameter.
Citation
Lin Feng Wang. "A Myers theorem via m-Bakry-Émery curvature." Kodai Math. J. 37 (1) 187 - 195, March 2014. https://doi.org/10.2996/kmj/1396008254
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