Area preserving group actions on surfaces

Details Area preserving group actions on surfaces Area preserving group actions on surfaces

2002-03-15

arxiv.org/abs/math/0203159v3

Geom. Topol. 7(2003) 757-771

Mathematics

Dynamical Systems

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol7/paper21.abs.html

Scientific paper

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.

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