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Open Engel manifolds admitting compact characteristic leaves

Published online by Cambridge University Press:  17 April 2009

Takashi Inaba
Takashi Inaba
Affiliation:
Division of Mathematical Sciences and Physics, Graduate School of Science and Technology, Chiba University, 1-33 Yayoicho, Inage-ku, Chiba 263-8522, Japan, e-mail: inaba@math.s.chiba-u.ac.jp
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Abstract

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We give an example of an Engel structure on the 4-dimensional Euclidean space which admits a compact characteristic leaf. We also show that every Engel structure on an open 4-manifold can be modified so that the resulting structure has a compact characteristic leaf.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 68 , Issue 2 , October 2003 , pp. 213 - 219
Copyright
Copyright © Australian Mathematical Society 2003

References

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