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- W4300916373 abstract "In this paper, we study affine manifolds endowed with linear foliations. These are foliations defined by vector subspaces invariant by the linear holonomy. We show that an $n$-dimensional compact, complete, and oriented affine manifold endowed with a codimension $1$ linear foliation ${cal F}$ is homeomophic to the $n$-dimensional torus if the leaves of ${cal F}$ are simply connected. Let $(M,nabla_M)$ be a $3$-dimensional compact affine manifold endowed with a codimension $1$ linear foliation. We prove that $(M,nabla_M)$ has a finite cover which is homeomorphic to the total space of a bundle over the circle if its developing map is injective, and has a convex image." @default.
- W4300916373 created "2022-10-04" @default.
- W4300916373 creator A5083263941 @default.
- W4300916373 date "2020-08-12" @default.
- W4300916373 modified "2023-09-27" @default.
- W4300916373 title "Linear foliations on affine manifolds" @default.
- W4300916373 doi "https://doi.org/10.48550/arxiv.2008.05357" @default.
- W4300916373 hasPublicationYear "2020" @default.
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