A Gauss-Bonnet-Chern theorem for Finsler vector bundles

Wei Zhao

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arXiv · 1405.7772

A Gauss-Bonnet-Chern theorem for Finsler vector bundles

Wei Zhao

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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.

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Wei Zhao. 2014-05-30. A Gauss-Bonnet-Chern theorem for Finsler vector bundles. https://arxiv.org/abs/1405.7772

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