Classification of semisimple symmetric spaces with proper SL(2,R)-actions
Differential Geometry
2013-08-27 v2 Representation Theory
Abstract
We give a complete classification of irreducible symmetric spaces for which there exist proper SL(2,R)-actions as isometries, using the criterion for proper actions by T. Kobayashi [Math. Ann. '89] and combinatorial techniques of nilpotent orbits. In particular, we classify irreducible symmetric spaces that admit surface groups as discontinuous groups, combining this with Benoist's theorem [Ann. Math. '96].
Keywords
Cite
@article{arxiv.1205.1177,
title = {Classification of semisimple symmetric spaces with proper SL(2,R)-actions},
author = {Takayuki Okuda},
journal= {arXiv preprint arXiv:1205.1177},
year = {2013}
}
Comments
41 pages (to appear in Journal of Differential Geometry)