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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the curvature of certain extensions
of $H$-type groups


Author: Isabel Dotti
Journal: Proc. Amer. Math. Soc. 125 (1997), 573-578
MSC (1991): Primary 53C25
MathSciNet review: 1350939
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Abstract: We show that a one-dimensional solvable extension of an H-type group is symmetric if and only if it has negative curvature.


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Additional Information

Isabel Dotti
Affiliation: FaMAF, Universidad Nacional de Córdoba, 5000 Córdoba, Argentina
Email: idotti@mate.uncor.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03576-4
PII: S 0002-9939(97)03576-4
Received by editor(s): February 13, 1995
Received by editor(s) in revised form: August 16, 1995
Additional Notes: Partially supported by grants from Conicor, SECYTUNC (Argentina), and I.C.T.P. (Trieste)
Dedicated: Dedicated to the memory of Franco Tricerri
Communicated by: Roe Goodman
Article copyright: © Copyright 1997 American Mathematical Society