TY - JOUR
AU - Kim, Youngju
AB - It is known that a geometrically finite Kleinian group is quasiconformally stable. In this paper, we prove that there is a geometrically finite group of isometries acting on hyperbolic 4-space which is quasiconformally unstable. In particular, a thrice-punctured sphere group has a large deformation space of quasiconformally distinct representations.
TI - Quasiconformal stability for isometry groups in hyperbolic 4-space
JF - Bulletin of the London Mathematical Society
DO - 10.1112/blms/bdq092
DA - 2011-02-01
UR - https://www.deepdyve.com/lp/oxford-university-press/quasiconformal-stability-for-isometry-groups-in-hyperbolic-4-space-erEOfIEA4z
SP - 175
EP - 187
VL - 43
IS - 1
DP - DeepDyve
ER -