On the deformations of nilpotent Lie foliations (Q282724)

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scientific article; zbMATH DE number 6579854
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On the deformations of nilpotent Lie foliations
scientific article; zbMATH DE number 6579854

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    On the deformations of nilpotent Lie foliations (English)
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    12 May 2016
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    The paper is a continuation of the author's paper [C. R., Math., Acad. Sci. Paris 349, No. 5--6, 337--340 (2011; Zbl 1220.53035)]. Here he studies nilpotent (non-abelian) Lie foliations on some compact manifold and deformations of these foliations such that the model Lie group is allowed to change. More precisely, the author constructs a specific example of a nilpotent Lie foliation of any codimension on a compact manifold such that this foliation cannot be deformated into a non-nilpotent solvable Lie one (Theorem 2.2).
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    Lie foliations
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    deformation of Lie foliations
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