文献类型：期刊文献

中文题名：Integral curvature bounds and diameter estimates on Finsler manifolds

作者：Wei Zhao[1]

机构：[1]Department of Mathematics,East China University of Science and Technology,Shanghai 200237,China

年份：2021

卷号：64

期号：3

起止页码：573

中文期刊名：Science China Mathematics

外文期刊名：中国科学：数学（英文版）

收录：Scopus;CSCD:【CSCD2021_2022】；PubMed;

基金：supported by National Natural Science Foundation of China(Grant Nos.11501202 and 11761058);the grant of China Scholarship Council。

语种：英文

中文关键词：integral curvature;Finsler manifold;Myers theorem

摘要：In this paper, we study the integrals of the Ricci curvature over metric balls in a Finsler manifold,which can be viewed as an L^(q)-norm of the Ricci curvature. By bounding such integrals from above, we obtain several Myers type theorems.