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This article is cited in 10 scientific papers (total in 10 papers)
Lattices in solvable Lie groups and deformations of homogeneous spaces
V. V. Gorbatsevich
Abstract:
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.
Received: 25.05.1972
Citation:
V. V. Gorbatsevich, “Lattices in solvable Lie groups and deformations of homogeneous spaces”, Mat. Sb. (N.S.), 91(133):2(6) (1973), 234–252; Math. USSR-Sb., 20:2 (1973), 249–266
Linking options:
https://www.mathnet.ru/eng/sm3114https://doi.org/10.1070/SM1973v020n02ABEH001873 https://www.mathnet.ru/eng/sm/v133/i2/p234
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Abstract page: | 265 | Russian version PDF: | 79 | English version PDF: | 5 | References: | 35 |
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