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Fundamentalnaya i Prikladnaya Matematika, 2019, Volume 22, Issue 6, Pages 151–167 (Mi fpm1857)  
Integral affine 3-manifolds

I. K. Kozlov

Moscow State University, Moscow, Russia
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Abstract: 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.
Funding agency Grant number
Russian Science Foundation 17-11-01303
This work was supported by the Russian Science Foundation grant (project No. 17-11-01303).
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 259, Issue 5, Pages 676–688
DOI: https://doi.org/10.1007/s10958-021-05653-3
Document Type: Article
UDC: 514.76
Language: Russian
Citation: I. K. Kozlov, “Integral affine 3-manifolds”, Fundam. Prikl. Mat., 22:6 (2019), 151–167; J. Math. Sci., 259:5 (2021), 676–688
Citation in format AMSBIB
\Bibitem{Koz19}
\by I.~K.~Kozlov
\paper Integral affine 3-manifolds
\jour Fundam. Prikl. Mat.
\yr 2019
\vol 22
\issue 6
\pages 151--167
\mathnet{http://mi.mathnet.ru/fpm1857}
\transl
\jour J. Math. Sci.
\yr 2021
\vol 259
\issue 5
\pages 676--688
\crossref{https://doi.org/10.1007/s10958-021-05653-3}
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