Boju-Funar type theorems via m-Bakry-Emery and m-modified Ricci curvatures
Boju-Funar type theorems via m-Bakry-Emery and m-modified Ricci curvatures
复制标题
通过 m-Bakry-Emery 和 m-修正的 Ricci 曲率得出 Boju-Funar 型定理
DOI：
10.1142/s0129167x21500518
复制
发表时间：
2021
影响因子：
0.6
通讯作者：
Homare TADANO
中科院分区：
文献类型：
--
作者：
Homare TADANO
我们通过Bakry-Émery和-modified Ricci曲率建立了完备黎曼流形的Boju-Funar型紧性准则，假设Bakry-Émery和-modified Ricci曲率随着到不动点的距离趋于无穷远而缓慢趋于零.我们的结果是完备黎曼流形的Cheeger-Gromov-Taylor型紧性准则通过Bakry-Émery和Y. Soylu和作者。
We establish some Boju–Funar type compactness criteria for complete Riemannian manifolds via-Bakry–Émery and-modified Ricci curvatures assuming that-Bakry–Émery and-modified Ricci curvatures tend slowly to zero as the distance from a fixed point goes to infinity. Our results are generalizations of Cheeger–Gromov–Taylor type compactness criteria for complete Riemannian manifolds via-Bakry–Émery and-modified Ricci curvatures established by Y. Soylu and the author.