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This article is cited in 1 scientific paper (total in 1 paper)
Extension of transformation groups of compact solvmanifolds
M. V. Milovanov Belarusian State Pedagogical University
Abstract:
We indicate a way to extend connected simply connected soluble Lie groups acting transitively and locally effectively on a given compact solvmanifold. In 1973, Auslander posed the problem of describing all groups of this kind. The results obtained here lead to the conclusion that it is unlikely that this problem has an exhaustive solution.
Bibliography: 10 titles.
Keywords:
soluble Lie group, compact solvmanifold, cotangent bundle.
DOI:
https://doi.org/10.4213/sm8323
Full text:
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English version:
Sbornik: Mathematics, 2015, 206:4, 540–571
Bibliographic databases:
UDC:
512.816.5
MSC: Primary 22F05; Secondary 22E25, 37J05 Received: 06.01.2014 and 03.07.2014
Citation:
M. V. Milovanov, “Extension of transformation groups of compact solvmanifolds”, Mat. Sb., 206:4 (2015), 67–98; Sb. Math., 206:4 (2015), 540–571
Citation in format AMSBIB
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Linking options:
http://mi.mathnet.ru/eng/msb8323https://doi.org/10.4213/sm8323 http://mi.mathnet.ru/eng/msb/v206/i4/p67
Citing articles on Google Scholar:
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This publication is cited in the following articles:
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V. V. Gorbatsevich, “Extension of transitive actions of Lie groups”, Izv. Math., 81:6 (2017), 1143–1154
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