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arXiv · 1607.06611

Superconnections and An Intrinsic Gauss-Bonnet-Chern Formula for Finsler Manifolds

Huitao Feng·Ming Li
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Abstract

In this paper, we establish an intrinsic Gauss-Bonnet-Chern formula for Finsler manifolds by using the Mathai-Quillen's superconnection formalism, in which no extra vector field is involved. Furthermore, we prove a more general Lichnerowicz formula in this direction through a geometric localization procedure.

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Huitao Feng, Ming Li. 2016-07-22. Superconnections and An Intrinsic Gauss-Bonnet-Chern Formula for Finsler Manifolds. https://arxiv.org/abs/1607.06611

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