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

Benoist, Yves, Hulin, Dominique

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.

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