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Asymptotic Formulae for Brillouin Index on Riemannian Manifolds

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Abstract

We establish several asymptotic formulae for Brillouin index on flat tori. As an application of these formulae it is proved that the topological entropy of a geodesic flow on a flat torus is zero.

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Authors and Affiliations

  1. LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China

    Wen Xiang Sun

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  1. Wen Xiang Sun
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Correspondence to Wen Xiang Sun.

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Project supported partially by National Natural Science Foundations of China (#10231020) and by special funds for National Excellent Theses in China

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Sun, W.X. Asymptotic Formulae for Brillouin Index on Riemannian Manifolds. Acta Math Sinica 23, 1297–1302 (2007). https://doi.org/10.1007/s10114-005-0904-y

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  • DOI: https://doi.org/10.1007/s10114-005-0904-y

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