Topological Structure and Topological Tensor Current of Gauss-Bonnet-Chern Theorem

作     者：DUAN Yi-Shi WU Shao-Feng ZHANG Peng-Ming 

作者机构：Institute of Theoretical Physics Lanzhou University Lanzhou 730000 China Department of Mathematics Lanzhou University Lanzhou 730000 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2006年第45卷第5期

页      面：793-798页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：The project supported in part by National Natural Science Foundation of China under Grant No. 10175028  the TianYuan Mathematics Fund under Grant No. A0324661  the China Postdoctoral Science Foundation and the Doctoral Foundation of China 

主　　题：Gauss-Bonnet-Chern theorem topological tensor current branes 

摘      要：We offer an intrinsic theoretical framework to reveal the inner relationships among three theories for Euler characteristic number, including Gauss Bonnet-Chern theorem, Hop-Poincaré theorem and Morse theory. Moreover, we consider the Gauss Bonnet-Chern （GBC） form imbedded in arbitrary higher-dimensional manifold, which suggests a Hodge dual tensor current. We show the brane structure inherent in the GBC tensor current and obtain the generalized Nambu action for the multi branes with quantized topological charge.