Classification of Horizontal Loops in the Standard Engel Space

被引：6

作者：

Adachi, Jiro ^{[1
]}

机构：

[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2007年 / 2007卷

关键词：

D O I：

10.1093/imrn/rnm008

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：29

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