GENERALIZED MYERS THEOREM FOR FINSLER MANIFOLDS WITH INTEGRAL RICCI CURVATURE BOUND

被引：0
|
作者：
Wu, Bing-Ye [1 ]
机构：
[1] Minjiang Univ, Inst Math, Fuzhou 350108, Fujian, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 56卷 / 04期
关键词：
extreme volume form; Finsler manifold; Ricci curvature; uniformity constant; fundamental group;
D O I：
10.4134/BKMS.b180636
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish the generalized Myers theorem for Finsler manifolds under integral Ricci curvature bound. More precisely, we show that the forward complete Finsler n-manifold whose part of Ricci curvature less than a positive constant is small in L-P-norm (for p > n/2) have bounded diameter and finite fundamental group.
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页码：841 / 852
页数：12
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