Ottazzi, Alessandro; Warhurst, Ben (2011). Algebraic prolongation and rigidity of Carnot groups. Monatshefte für Mathematik, 162(2), pp. 179-195. Wien: Springer-Verlag Wien 10.1007/s00605-009-0170-7
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We discuss the known results on rigidity of Carnot groups using Tanaka’s prolongation theory. We also apply Tanaka’s theory to study rigidity of an extended class of H-type groups which we call J-type groups. In particular we obtain a rigidity criterion giving rise to a rigid class of J-type groups which includes the H-type groups, and thus extends the results of H.M. Reimann. We also construct a noncomplex J-type group which is nonrigid and does not satisfy the rank 1 condition over the reals.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Warhurst, Benjamin Tom |
ISSN: |
0026-9255 |
Publisher: |
Springer-Verlag Wien |
Language: |
English |
Submitter: |
Factscience Import |
Date Deposited: |
04 Oct 2013 14:21 |
Last Modified: |
05 Dec 2022 14:05 |
Publisher DOI: |
10.1007/s00605-009-0170-7 |
Web of Science ID: |
000286631000005 |
BORIS DOI: |
10.48350/6907 |
URI: |
https://boris.unibe.ch/id/eprint/6907 (FactScience: 211978) |
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