Geodesic
Lattices in solvable Lie groups and deformations of homogeneous spaces
Sbornik. Mathematics, Tome 20 (1973) no. 2, pp. 249-266

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The space $\mathrm{SD}_n$ of pairs $(S,\Gamma)$ is studied, where $S$ is a solvable simply-connected Lie group and $\Gamma$ is a lattice in $S$, considered up to isomorphism. The structure of a neighborhood of a point $(S,\Gamma)\in\mathrm{SD}_n$ is described for two classes of groups $S$. In this connection deformations of homogeneous spaces are studied. Homogeneous spaces of type $K(\pi,1)$ are studied in the Appendix. Bibliography: 14 titles. 
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     author = {V. V. Gorbatsevich},
     title = {Lattices in solvable {Lie} groups and deformations of homogeneous spaces},
     journal = {Sbornik. Mathematics},
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     number = {2},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1973_20_2_a3/}
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V. V. Gorbatsevich. Lattices in solvable Lie groups and deformations of homogeneous spaces. Sbornik. Mathematics, Tome 20 (1973) no. 2, pp. 249-266. http://geodesic.mathdoc.fr/item/SM_1973_20_2_a3/