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

 

One-dimensional metric foliations on the Heisenberg group


Author: Marius Munteanu
Journal: Proc. Amer. Math. Soc. 134 (2006), 1791-1802
MSC (2000): Primary 53C12; Secondary 22E25, 57R30
Published electronically: October 28, 2005
MathSciNet review: 2207495
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Abstract: We prove that the one-dimensional metric foliations on the $ (2n+1)$-dimensional Heisenberg group equipped with a left invariant metric are homogeneous.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-05-08160-8
PII: S 0002-9939(05)08160-8
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
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.