Geodesic
Integral affine 3-manifolds
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 6, pp. 151-167.

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Affine manifolds are called integral if there is an atlas such that all transition maps are affine transformations with integer matrices of linear parts. In this paper, we describe all complete integral affine structures on compact three-dimensional manifolds up to a finite-sheeted covering. Also a complete list of integral affine structures on the three-dimensional torus and compact three-dimensional nilmanifolds was obtained. 
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I. K. Kozlov. Integral affine 3-manifolds. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 6, pp. 151-167. http://geodesic.mathdoc.fr/item/FPM_2019_22_6_a5/

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