A theorem of Ambrose for Bakry-Emery Ricci tensor

作者：Zhang Shijin^*

来源：Annals of Global Analysis and Geometry, 2014, 45(3): 233-238.

DOI：10.1007/s10455-013-9396-7

• Bakry-Emery Ricci tensor
• Ambrose's theorem
• Riccatti inequality

In this short note, we prove a theorem of Ambrose (or Myers) for the Bakry-Emery Ricci tensor with the potential function at most linear growth. We also prove a complete manifold with the Bakry-Emery Ricci tensor bounded from below by a uniform positive constant and the potential function at most quadratic growth is compact.

• 出版日期2014-3
• 单位北京航空航天大学