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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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One-dimensional metric foliations on the Heisenberg group
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by Marius Munteanu PDF
Proc. Amer. Math. Soc. 134 (2006), 1791-1802 Request permission

Abstract:

We prove that the one-dimensional metric foliations on the $(2n+1)$-dimensional Heisenberg group equipped with a left invariant metric are homogeneous.
References
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Additional Information
  • Marius Munteanu
  • Affiliation: Department of Mathematics, Computer Science and Statistics, SUNY College at Oneonta, Oneonta, New York 13820
  • Email: munteam@oneonta.edu
  • Received by editor(s): December 15, 2003
  • Received by editor(s) in revised form: December 31, 2004
  • Published electronically: October 28, 2005
  • Communicated by: Jon G. Wolfson
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 1791-1802
  • MSC (2000): Primary 53C12; Secondary 22E25, 57R30
  • DOI: https://doi.org/10.1090/S0002-9939-05-08160-8
  • MathSciNet review: 2207495