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Rigidity of Carnot groups relative to multicontact structures
Author(s):
Filippo
De Mari;
Alessandro
Ottazzi
Journal:
Proc. Amer. Math. Soc.
138
(2010),
1889-1895.
MSC (2000):
Primary 22E25, 53C24, 58D05
Posted:
January 5, 2010
MathSciNet review:
2587473
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Additional information
Abstract:
We prove a rigidity type result for stratified nilpotent Lie algebras which gives a positive answer to a special case of a conjecture formulated by M. Cowling and of another conjecture formulated by A. Korányi.
References:
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Additional Information:
Filippo
De Mari
Affiliation:
Dipartimento di Matematica, Università di Genova, Genova, Italy
Email:
demari@dima.unige.it
Alessandro
Ottazzi
Affiliation:
Dipartimento di Matematica e Applicazioni, Università di Milano ``Bicocca'', via Cozzi, 53, 20125 Milano, Italy
Email:
alessandro.ottazzi@unimib.it
DOI:
10.1090/S0002-9939-10-10212-3
PII:
S 0002-9939(10)10212-3
Keywords:
Carnot group,
contact map,
prolongation,
rigidity
Received by editor(s):
March 31, 2009,
Received by editor(s) in revised form:
September 8, 2009
Posted:
January 5, 2010
Communicated by:
Mario Bonk
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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