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One-dimensional metric foliations on the Heisenberg group

Author(s): Marius Munteanu
Journal: Proc. Amer. Math. Soc. 134 (2006), 1791-1802.
MSC (2000): Primary 53C12; Secondary 22E25, 57R30
Posted: October 28, 2005
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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: 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
Posted: October 28, 2005
Communicated by: Jon G. Wolfson
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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