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- W3089303943 abstract "The conjecture of Auslander is that a closed complete affine manifold must have a virtually solvable fundamental group. We present some supporting evidence. We will show that a closed manifold with a complete special affine structure cannot have partially hyperbolic linear holonomy nor can it have a $P$-Anosov linear holonomy for any parabolic subgroup $P$ of $mathrm{SL}_pm(n, mathbf{R})$, provided that the Zariski closure of the linear holonomy is reductive. The principal tools are Gromov's theory of hyperbolic metric spaces, coarse geometry, the spectrum theory of linear groups by Benoist, and the Anosov representation theory." @default.
- W3089303943 created "2020-10-01" @default.
- W3089303943 creator A5042201715 @default.
- W3089303943 date "2020-09-23" @default.
- W3089303943 modified "2023-09-27" @default.
- W3089303943 title "Closed complete special affine manifolds cannot have Anosov holonomy" @default.
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