一类可解李群的Lipschitz 1-连通性
Lipschitz 1-connectedness for some solvable Lie groups
摘要：
称空间X是Lipschitz 1-连通的，如果X中的每个L-Lipschitz圈都有O（L）-Lipschitz圆盘的边界。一个Lipschitz 1-连通空间存在一个二次等周不等式，但其逆不等式是否成立是未知的. Cornulier和Tessera证明了某些可解李群具有二次等周不等式，我们推广了他们的结果，证明了这些群是Lipschitz 1-连通的.
英文摘要：
A space X is said to be Lipschitz 1-connected if every L-Lipschitz loop in X bounds a O(L)-Lipschitz disk. A Lipschitz 1-connected space admits a quadratic isoperimetric inequality, but it is unknown whether the converse is true. Cornulier and Tessera showed that certain solvable Lie groups have quadratic isoperimetric inequalities, and we extend their result to show that these groups are Lipschitz 1-connected.
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。
