| Asymptotic Formulae for Brillouin Index on Riemannian Manifolds |
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| 引用本文： | Wen Xiang SUN. Asymptotic Formulae for Brillouin Index on Riemannian Manifolds[J]. 数学学报(英文版), 2007, 23(7): 1297-1302. DOI: 10.1007/s10114-005-0904-y |
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| 作者姓名： | Wen Xiang SUN |
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| 作者单位： | wLMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China |
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| 基金项目： | Project supported partially by National Natural Science Foundations of China （#10231020） and by special funds for National Excellent Theses in China;Acknowledgment The author thanks Prof. M. M. Peixoto for his helpful conversations and explanation on his theory of focal decomposition and focal stability, and the author thanks the referee for constructive suggestions. |
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| 摘 要： |
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| 关 键 词： | 黎曼流形 布里渊散射指数 平坦流形 拓扑熵 |
| 收稿时间： | 2005-01-18 |
| 修稿时间： | 2005-01-182006-02-13 |
Asymptotic Formulae for Brillouin Index on Riemannian Manifolds |
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| Wen Xiang Sun. Asymptotic Formulae for Brillouin Index on Riemannian Manifolds[J]. Acta Mathematica Sinica(English Series), 2007, 23(7): 1297-1302. DOI: 10.1007/s10114-005-0904-y |
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| Authors: | Wen Xiang Sun |
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| Affiliation: | (1) LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China |
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| Abstract: | We establish several asymptotic formulae for Brillouin index on fiat tori. As an application of these formulae it is proved that the topological entropy of a geodesic flow on a fiat torus is zero. |
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| Keywords: | flat torus Brillouin index geodesic flow topological entropy |
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