AI 中文总结
研究一次穿孔环面上与伪阿诺索夫映射类$\psi$相关的拟富克斯流形序列的凸核体积渐近行为，证明其凸核体积与$\psi$映射环面体积的$2n$倍相差至多一个有界常数。
AI 中文摘要
我们研究了与一次穿孔环面上的伪阿诺索夫映射类$\psi$相关的拟富克斯流形序列$Q(\psi^{-n}X,\psi^n X)$的凸核体积的渐近行为。我们证明凸核的体积与$\psi$的映射环面体积的$2n$倍相差至多一个一致有界常数。
英文摘要
We study the asymptotic behavior of the convex core volume for a sequence of quasi-Fuchsian manifolds $Q(ψ^{-n}X, ψ^n X)$ associated with a pseudo-Anosov mapping class $ψ$ on a once-punctured torus. We prove that the volume of the convex core differs from $2n$ times the volume of the mapping torus of $ψ$ by at most a uniformly bounded constant.
Comments31 pages, 4 figures
