Auslander conjecture for compact flat pseudo-Riemannian manifolds

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Let MM be a compact pseudo-Riemannian manifold of constant sectional curvature 00.

Auslander conjecture, special case. The fundamental group π1(M)\pi_1(M) 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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