Asymptotic formulae for Brillouin index on Riemannian manifolds

作者：Sun Wen Xiang^*

来源：Acta Mathematica Sinica-English Series, 2007, 23(7): 1297-1302.

DOI：10.1007/s10114-005-0904-y

• flat torus
• Brillouin index
• geodesic flow
• topological entropy

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.

• 出版日期2007-7
• 单位北京大学