Myers-type theorems via m-Bakry-Emery Ricci curvatures of quartic decays

被引：0
作者：
Tadano, Homare [1 ]
机构：
[1] Yamaguchi Univ, Fac Sci, Dept Math, 1677-1 Yoshida, Yamaguchi, Yamaguchi 7538512, Japan
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2023年 / 34卷 / 13期
关键词：
Myers-type theorem; second variation formula; diameter bound; m-Bakry-Emery Ricci curvature; m-modified Bakry-Emery Ricci curvature; GEOMETRY;
D O I：
10.1142/S0129167X23500337
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish several Myers-type theorems for n-dimensional complete Riemannian manifolds assuming some quartic decays of the m-Bakry-Emery and m-modified Bakry-Emery Ricci curvatures with m is an element of (-infinity, 1] boolean OR [n, +infinity] in terms of the distance function from a fixed point.
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