Nonvarying sums of Lyapunov exponents of Abelian differentials in low genus
Nonvarying sums of Lyapunov exponents of Abelian differentials in low genus
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低属阿贝尔微分的李亚普诺夫指数的不变和
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Martin Moeller
中科院分区：
文献类型：
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作者：
Dawei Chen;Martin Moeller
我们表明，对于许多层的阿贝尔微分低亏格的Teichmuller测地线流的Lyapunov指数的总和是相同的所有Teichmuller曲线在该层，因此等于整个层的Lyapunov指数的总和。这种行为是由于Teichmuller曲线的模空间上的各种几何定义的因子的不相交性。14时10分; 37天40分，14时51分
We show that for many strata of Abelian differentials in low genus the sum of Lyapunov exponents for the Teichmuller geodesic flow is the same for all Teichmuller curves in that stratum, hence equal to the sum of Lyapunov exponents for the whole stratum. This behavior is due to the disjointness property of Teichmuller curves with various geometrically defined divisors on moduli spaces of curves. 14H10; 37D40, 14H51