Gauss-Bonnet-Chern Formulas and Developments in Riemann-Finsler Geometry

来源 :2016黎曼-芬斯勒几何国际会议 | 被引量 : 0次 | 上传用户:btxzero
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  Beginning with the classical Gauss-Bonnet formula,we recall the Gauss-Bonnet-Chern formula and its generalization in Riemannian geometry.A brief presentation for various generalizations of the Gauss-Bonnet-Chern formula to Finsler geometry is shown.In particular,a generalization to real Finsler vector bundles is given.Moreover,the Dirac operator in Riemann-Finsler geometry is introduced.
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