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arXiv · 1303.1918

A simple proof of the Gauss-Bonnet-Chern formula for Finsler manifolds

Wei Zhao
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Abstract

From the point of view of index theory, we give a simple proof of a Gauss-Bonnet-Chern formula for all Finsler manifolds by the Cartan connection. Based on this, we establish a Gauss-Bonnet-Chern formula for any metric-compatible connection and also derive the Gauss-Bonnet-Chern formula of Lackey.

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Wei Zhao. 2013-03-08. A simple proof of the Gauss-Bonnet-Chern formula for Finsler manifolds. https://arxiv.org/abs/1303.1918

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