文献类型：期刊文献

英文题名：On the Gauss-Bonnet-Chern formula for real Finsler vector bundles

作者：Zhao, Wei[1];Yuan, Lixia[2];Shen, Yibing[3]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Fudan Univ, Dept Math, Shanghai 200433, Peoples R China;[3]Zhejiang Univ, Sch Math, Hangzhou 310027, Zhejiang, Peoples R China

年份：2016

卷号：47

起止页码：43

外文期刊名：DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000378970600004)】；

基金：The authors wish to thank Professor Z. Shen for his advice and encouragement. This work was supported by the National Natural Science Foundation of China (No. 11501202; No. 11471246), the Tian Yuan Mathematical Foundation (No. 11426108), the Fundamental Research Funds for the Central Universities, and the China Postdoctoral Science Foundation (No. 2014M561404).

语种：英文

外文关键词：The Gauss-Bonnet-Chern theorem; Real Finsler vector bundles

摘要：In this paper, we give a Gauss-Bonnet-Chern formula for real Finsler vector bundles with respect to any metric-compatible connection. The key idea is to modify any given metric-compatible connection to be a new metric-compatible connection with some special properties. As a corollary, a Gauss-Bonnet-Chern formula for Finsler manifolds with respect to any metric-compatible connection is established. (C) 2016 Elsevier B.V. All rights reserved.