Geodesic
Classification of a Class of Nonrigid Carnot Groups
Michael R. Hughes1 ; Mihai D. Staic1 ; Xiangdong Xie1
1Dept. of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, U.S.A.
Journal of Lie Theory, Tome 25 (2015) no. 3, pp. 717-732

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 22E25, 20F65, 30C65
Mots-clés : Nonrigid Carnot groups, complex Heisenberg product groups

Michael R. Hughes  1   ; Mihai D. Staic  1   ; Xiangdong Xie  1

1 Dept. of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, U.S.A. 
Michael R. Hughes; Mihai D. Staic; Xiangdong Xie. Classification of a Class of Nonrigid Carnot Groups. Journal of Lie Theory, Tome 25 (2015) no. 3, pp. 717-732. http://geodesic.mathdoc.fr/item/JOLT_2015_25_3_a3/
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     author = {Michael R. Hughes and Mihai D. Staic and Xiangdong Xie},
     title = {Classification of a {Class} of {Nonrigid} {Carnot} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {717--732},
     year = {2015},
     volume = {25},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2015_25_3_a3/}
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