English

A flat torus theorem for convex co-compact actions of projective linear groups

Geometric Topology 2020-11-03 v2 Differential Geometry

Abstract

In this paper, we consider discrete groups in PGLd(R){\rm PGL}_d(\mathbb{R}) acting convex co-compactly on a properly convex domain in real projective space. For such groups, we establish an analogue of the well known flat torus theorem for CAT(0){\rm CAT}(0) spaces.

Keywords

Cite

@article{arxiv.1907.03277,
  title  = {A flat torus theorem for convex co-compact actions of projective linear groups},
  author = {Mitul Islam and Andrew Zimmer},
  journal= {arXiv preprint arXiv:1907.03277},
  year   = {2020}
}

Comments

Minor revisions, to appear in the Journal of the London Mathematical Society. 20 pages. Comments welcome

R2 v1 2026-06-23T10:14:08.527Z