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arXiv 0709.3469math.GTmath.APmath.MG
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关于isometry群中控制宽度和共轭的测地同伦

On geodesic homotopies of controlled width and conjugacies in isometry groups

Gerasim Kokarev

摘要:

给出了Hadamard度量空间中等变映射间测地同伦宽度的Poincare型不等式的解析证明。作为应用,我们得到了作用在Hadamard空间上的群中两个有限列表共轭的元素的长度的线性界。

英文摘要:

We give an analytical proof of the Poincare-type inequalities for widths of geodesic homotopies between equivariant maps valued in Hadamard metric spaces. As an application we obtain a linear bound for the length of an element conjugating two finite lists in a group acting on an Hadamard space.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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