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

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-dimens...

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Bibliographic Details
Published in:Communications in theoretical physics 2006-05, Vol.45 (5), p.793-798, Article 793
Main Author: DUAN Yi-Shi WU Shao-Feng ZHANG Peng-Ming
Format: Article
Language:English
Subjects:
Gauss-Bonnet-Chern理论
内在理论框架
张量流
量子化
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Summary: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.
ISSN:0253-6102
DOI:10.1088/0253-6102/45/5/006