一类负曲齐性空间边界的Bilipschitz映射
Bilipschitz maps of boundaries of certain negatively curved homogeneous spaces
摘要：
在本文中，我们研究了某些组的bilipschitz映射的边界减去一个点的一个负弯曲的空间，这是一个交换的循环可解李群，其中的扩展是由矩阵的特征值都位于单位圆之外。扩展矩阵是对角矩阵的情况以前由Dymarz研究过。作为应用，结合Eskin-Fisher-Whyte和Peng的工作，给出了可解李群中一类格的拟等距刚性的最后证明步骤.
英文摘要：
In this paper we study certain groups of bilipschitz maps of the boundary minus a point of a negatively curved space that is an abelian-by-cyclic solvable Lie group, where the extension is given by a matrix whose eigenvalues all lie outside of the unit circle. The case where the extension matrix is diagonal was previously studied by Dymarz. As an application, combined with work of Eskin-Fisher-Whyte and Peng, we provide the last steps in the proof of quasi-isometric rigidity for a class of lattices in solvable Lie groups.
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。
