Compact Polygons
Differential Geometry
2007-05-23 v1 Geometric Topology
Abstract
We develop the basic topological properties of compact polygons, i.e. of compact topological Tits buildings of rank two. It is proved that the Coxeter diagram of such a building is always crystallographic, that is, compact connected n-gons exist only for n=3,4,6. We classify compact polygons which admit a transitive group action, showing that such a polygon is Moufang and thus related to a real Lie group of rank 2.
Cite
@article{arxiv.math/0104064,
title = {Compact Polygons},
author = {Linus Kramer},
journal= {arXiv preprint arXiv:math/0104064},
year = {2007}
}