文献类型：期刊文献

英文题名：Homotopy finiteness theorems for Finsler manifolds

作者：Zhao, Wei

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai, Peoples R China

年份：2013

卷号：83

期号：3

起止页码：329

外文期刊名：PUBLICATIONES MATHEMATICAE-DEBRECEN

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000330554600005)】；

基金：The author wishes to thank Professor Z. Shen for his advice and encouragement. This work was supported partially by National Natural Science Foundation of China (Grant No. 11171297).

语种：英文

外文关键词：Finsler manifold; finiteness theorem; Gromov-Hausdorff distance; LGC space; contractibility radius

摘要：In this paper, we consider generalized LGC spaces whose metrics are nonreversible and show the compactness of such spaces in the generalized Gromov-Hausdorff topology. On the basis of these, we derive some homotopy finiteness theorems for Finsler manifolds, which are extensions of Yamaguchi's results.