Area preserving group actions on surfaces
动力系统
2014-11-11 v3
摘要
Suppose G is an almost simple group containing a subgroup isomorphic to the three-dimensional integer Heisenberg group. For example any finite index subgroup of SL(3,Z) is such a group. The main result of this paper is that every action of G on a closed oriented surface by area preserving diffeomorphisms factors through a finite group.
引用
@article{arxiv.math/0203159,
title = {Area preserving group actions on surfaces},
author = {John Franks and Michael Handel},
journal= {arXiv preprint arXiv:math/0203159},
year = {2014}
}
备注
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol7/paper21.abs.html