This article is cited 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.

UDC: 512.816.5

MSC: Primary 22F05; Secondary 22E25, 37J05

Received: 06.01.2014 and 03.07.2014

DOI: 10.4213/sm8323

 English version: Sbornik: Mathematics, 2015, 206:4, 540–571

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