| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4605799 | Differential Geometry and its Applications | 2016 | 14 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Wei Zhao, Lixia Yuan, Yibing Shen,