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

2016/07/22 by Feng, Huitao, Li, Ming
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1607.06611

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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