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International Mathematics Research Notices (2007) Vol. 2007 : article ID rnm008, 28 pages, doi:10.1093/imrn/rnm008 published on May 24, 2007
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Copyright © The Author 2007. Published by Oxford University Press.

Classification of Horizontal Loops in the Standard Engel space

Jiro Adachi

Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan

Correspondence: Correspondence to be sent to: j-adachi{at}math.sci.hokudai.ac.jp

We study Engel horizontal loops, that is, embedded circles that are tangent to Engel distributions everywhere. It is proved that Engel horizontal loops in the standard Engel space are classified by their rotation number with respect to the canonical trivialization of the Engel distribution.

Communicated by Yakov Eliashberg


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