Generalizations of Bonnet-Myers theorem on Finsler manifolds
Generalizations of Bonnet-Myers theorem on Finsler manifolds
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DOI：
10.1016/j.jmaa.2020.124712
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发表时间：
2021-03
影响因子：
1.3
通讯作者：
B. Shen;Zisu Zhao
中科院分区：
文献类型：
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作者：
B. Shen;Zisu Zhao
本文将Myers定理推广到具有四种不同曲率条件的Finsler流形上。第一个是Finsler流形上的寻常Ricci曲率。第二个是第一作者在[9]中定义的平均Ricci曲率。最后两个是加权Ricci曲率，它们在加权黎曼空间中也起着重要的作用。我们还提供了加权黎曼流形上的广义Myers定理。
In this note, we generalize the Myers theorem on Finsler manifolds with four different curvature conditions. The first one is the ordinary Ricci curvature on Finsler manifolds. The second one is the mean Ricci curvature defined by the first author in [9]. The last two ones are the weighted Ricci curvatures which also play important roles in weighted Riemannian spaces. We also provide the generalized Myers theorem on weighted Riemannian manifolds.