A MYERS THEOREM VIA m-BAKRY-EMERY CURVATURE

作者：Wang, Lin Feng^*

来源：Kodai Mathematical Journal, 2014, 37(1): 187-195.

DOI：10.2996/kmj/1396008254

• Almost positive at infinity
• m-Bakry-Emery curvature
• weighted Laplacian comparison theorem
• Myers' theorem

In this paper, we prove that a complete manifold whose m-Bakry-Emery curvature satisfies
Ric(f, m)(x) >= -(m-1) K-0/(1 + r(x))(2)
for some constant K-0 < -1/4 should be compact. We also get an upper bound estimate for the diameter.

• 出版日期2014-3
• 单位南通大学