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A Gauss-Bonnet-Chern theorem for Finsler vector bundles (1405.7772v1)
Published 30 May 2014 in math.DG
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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