A Gauss-Bonnet-Chern theorem for Finsler vector bundles
Differential Geometry
2019-06-18 v1
Abstract
In this paper, we give a simple proof of the Gauss-Bonnet-Chern theorem for a real oriented Finsler vector bundle with rank equal to the dimension of the base manifold. As an application, a Gauss-Bonnet-Chern formula for any metric-compatible connection is established on Finsler manifolds.
Keywords
Cite
@article{arxiv.1405.7772,
title = {A Gauss-Bonnet-Chern theorem for Finsler vector bundles},
author = {Wei Zhao},
journal= {arXiv preprint arXiv:1405.7772},
year = {2019}
}