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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the curvature of certain extensions of $H$-type groups
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by Isabel Dotti PDF
Proc. Amer. Math. Soc. 125 (1997), 573-578 Request permission

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
  • 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
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 573-578
  • MSC (1991): Primary 53C25
  • DOI: https://doi.org/10.1090/S0002-9939-97-03576-4
  • MathSciNet review: 1350939