Large Scale Geometry of some Negatively Curved Solvable Lie Groups

Seminar: 
Geometry & Topology
Event time: 
Tuesday, April 6, 2010 - 12:30pm to Monday, April 5, 2010 - 8:00pm
Location: 
215 LOM
Speaker: 
Xiangdong Xie
Speaker affiliation: 
Georgian Southern Univeristy
Event description: 

We classify (up to quasiisometry) all negatively curved solvable Lie groups that are the semi-direct product of the Euclidean group and R. We also show that all quasiisometries between such groups (except when the groups are biLipschitz to the real hyperbolic spaces) are almost isometries. Recall that a quasiisometry is an almost isometry if it preserves the distance up to an additive constant.