论文标题
谐波准时地图III:HADAMARD歧管的商
Harmonic quasi-isometric maps III :quotients of Hadamard manifolds
论文作者
论文摘要
在上一篇论文中,我们证明了一个准iS-Importric Map $ f:x \ longrightArrow y $之间的两个捏合的hadamard歧管$ x $和$ y $在距离独特的谐波映射范围内。我们将此结果扩展到映射$ f:γ\ Backslash x \ longrightArrow y $,其中$γ$是$ x $ $ x $和$ f $的凸CoCocoCompact离散组,而Infinity在本地质量图。
In a previous paper, we proved that a quasi-isometric map $f:X\longrightarrow Y$ between two pinched Hadamard manifolds $X$ and $Y$ is within bounded distance from a unique harmonic map. We extend this result to maps $f:Γ\backslash X\longrightarrow Y$, where $Γ$ is a convex cocompact discrete group of isometries of $X$ and $f$ is locally quasi-isometric at infinity.