A theorem of Ambrose for Bakry–Emery Ricci tensor
A theorem of Ambrose for Bakry–Emery Ricci tensor
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DOI：
10.1007/s10455-013-9396-7
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发表时间：
2014-03
影响因子：
0.7
通讯作者：
Shijin Zhang
中科院分区：
文献类型：
--
作者：
Shijin Zhang
在这篇短文中，我们证明了Bakry-Emery Ricci张量的一个Ambrose(或Myers)定理，它的势函数至多是线性增长的。我们还证明了一个完备流形，其中Bakry-Emery Ricci张量由一个一致的正常数从下有界，且势函数至多是二次增长的。
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 manifoldwith the Bakry–Emery Ricci tensor bounded from below by a uniform positive constant and the potential function at most quadratic growth is compact.