MathDBThe Auslander conjecture on compact complete affine manifolds
The Auslander conjecture on compact complete affine manifolds
A compact complete affine manifold is a compact manifold equipped with a complete affine structure. Auslander's conjecture. The fundamental group of a compact complete affine manifold is virtually polycyclic. This conjecture concerns the classification of compact complete affine manifolds and the structure of their fundamental groups. Its resolution status is not established by the supplied source context.
Progress summary
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Sources & referencesView supporting material
Primary source
Sourav Ghosh, “Deformation of Fuchsian representations and proper affine actions”, arXiv:2312.16655 (2024).
Additional references
7 papers in this index state this conjecture (2004–2023). The statement above is taken from the most recent of them; the others are arXiv:2109.06758, arXiv:1909.02797, arXiv:1812.03777, arXiv:1711.09712, arXiv:1108.0216, arXiv:math/0409476.
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