Superconnections and an intrinsic Gauss-Bonnet-Chern formula for Finsler manifolds

被引：0
|
作者：
Feng, Huitao [1 ,2 ]
Li, Ming [3 ]
机构：
[1] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
[3] Chongqing Univ Technol, Math Sci Res Ctr, Chongqing 400054, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2023年 / 66卷 / 09期
基金：
中国国家自然科学基金;
关键词：
superconnection; Gauss-Bonnet-Chern formula; Finsler manifold; transgression;
D O I：
10.1007/s11425-023-2144-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页码：1903 / 1932
页数：30
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