论文标题

关于某些小组对哈玛德空间产物的行为的评论

Remarks on the actions of some groups on the product of Hadamard spaces

论文作者

He, Zunwu

论文摘要

对于Hadamard空间的产物$ x = x_1 \ times x_2 $,某些组$ g \ subset是(x_1)\ times是(x_2)$ Acting,G。link arxiv:1107.37555V1引入了增长率$δ_θ$ slope $θ$的增长率$ g- $ g- $ g- $ novariant $( 首先,我们表明$δ_θ$在斜率$θ$中是连续的,因为上述组件具有一定的温和条件。 其次,我们对G.链接提出的一个问题给出了负面答案。并讨论了有关问题的进一步结果。 最后,我们可以将$(b,θ)$ - 密度在某种合理条件下。

For a product of Hadamard spaces $X=X_1\times X_2$ on which some group $G\subset Is(X_1)\times Is(X_2)$ acting, G. Link arXiv:1107.3755v1 introduced the growth rate $δ_θ$ of slope $θ$ to construct a $G-$invariant $(b,θ)$-density. First, we show that $δ_θ$ is continuous in the slope $θ$ as the above group action with some mild condition. Second, we give a negative answer to a question raised by G. Link in \cite{1} in general. And further results about the question are discussed. In the end, we can extent the $(b,θ)$-densities in some reasonable condition.

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