沿着Fuchsian轨迹的变化
Variations along the Fuchsian locus
摘要：
主要结果是一个明确的表达的压力度量的希钦组件的表面群表示成PSL（n，R）沿Fuchsian轨迹。该表达式是用全纯微分对切空间的参数化表示的，它给出了与Petersson配对的精确关系。一路上，变分公式的建立，推广经典Teichmueller理论的结果，如加德纳公式，长度函数和Fenchel-Nielsen变形之间的关系，和变化的交比。
英文摘要：
The main result is an explicit expression for the Pressure Metric on the Hitchin component of surface group representations into PSL(n,R) along the Fuchsian locus. The expression is in terms of a parametrization of the tangent space by holomorphic differentials, and it gives a precise relationship with the Petersson pairing. Along the way, variational formulas are established that generalize results from classical Teichmueller theory, such as Gardiner's formula, the relationship between length functions and Fenchel-Nielsen deformations, and variations of cross ratios.
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