摘要
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.
基金
supported by National Natural Science Foundation of China(Grant Nos.11221091,11271062,11501067,11571184,11871126 and 11931007)
Natural Science Foundation of Chongqing
China(Grant No.CSTB2022NSCQ-MSX0397)
the Fundamental Research Funds for the Central Universities and Nankai Zhide Foundation
the Chern Institute of Mathematics Visiting Scholars Program。
