Nilpotent pseudogroups of functions on an interval
动力系统
2007-05-23 v2 几何拓扑
摘要
A near-identity nilpotent pseudogroup of order m >= 1 is a family f_1, ..., f_n: (-1,1) -> R of C^2 functions for which: |f_i - id|_{C^1} < epsilon for some small positive real number epsilon < 1/10^{m+1} and commutators of the functions f_i of order at least m equal the identity. We present a classification of near-identity nilpotent pseudogroups: our results are similar to those of Plante, Thurston, Farb and Franks for nilpotent groups. As an application, we classify certain foliations of nilpotent manifolds.
关键词
引用
@article{arxiv.math/0404157,
title = {Nilpotent pseudogroups of functions on an interval},
author = {Tania M. Begazo and Nicolau C. Saldanha},
journal= {arXiv preprint arXiv:math/0404157},
year = {2007}
}
备注
13 pages, no figures