论文标题
在某些谎言群体上的左右riemannian指标的粗略相似性
Rough similarity of left-invariant Riemannian metrics on some Lie groups
论文作者
论文摘要
我们认为谎言组是Heintze群体或溶液类群，它们概括了三维Lie组SOL。我们证明，每个这样的谎言组上的所有剩下的Riemannian指标都通过身份大致相似。这使我们能够在共同的框架中重新制定Le Donne-Xie，Eskin-Fisher-Whyte，Carrasco Piaggio，以及Ferragut和Kleiner-Müller-Xie的最新结果，这些结果对这些可解决的群体的准序列化。
We consider Lie groups that are either Heintze groups or Sol-type groups, which generalize the three-dimensional Lie group SOL. We prove that all left-invariant Riemannian metrics on each such a Lie group are roughly similar via the identity. This allows us to reformulate in a common framework former results by Le Donne-Xie, Eskin-Fisher-Whyte, Carrasco Piaggio, and recent results of Ferragut and Kleiner-Müller-Xie, on quasiisometries of these solvable groups.
