Auslander conjecture for compact flat pseudo-Riemannian manifolds
Let be a compact pseudo-Riemannian manifold of constant sectional curvature .
Auslander conjecture, special case. The fundamental group contains a solvable subgroup of finite index.
This is the pseudo-Riemannian analogue of the Bieberbach theorem for compact flat Riemannian manifolds. The source states that the analogous result was still unknown, so the conjecture remains open.
References
Primary source
Toshiyuki Kobayashi, “On discontinuous group actions on non-Riemannian homogeneous spaces”, arXiv:math/0603319 (2006).
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