Journal of Lie Theory 25 (2015), No. 3, 717--732
Copyright Heldermann Verlag 2015
Classification of a Class of Nonrigid Carnot Groups
Michael R. Hughes
Dept. of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, U.S.A.
mrhughe@bgsu.edu
Mihai D. Staic
Dept. of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, U.S.A.
mstaic@bgsu.edu
Xiangdong Xie
Dept. of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, U.S.A.
xiex@bgsu.edu
We classify up to isomorphism a class of nonrigid Carnot groups. As an application we obtain a quasiisometric classification of a class of finitely generated nilpotent groups. We also identify all C2 quasiconformal maps of these nonrigid Carnot groups.
Keywords: Nonrigid Carnot groups, complex Heisenberg product groups.
MSC: 22E25, 20F65, 30C65
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