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Local and Global Stability of Compact Leaves and Foliations

The equivalence of the local stability of a compact foliation to the completeness and the quasi analyticity of its pseudogroup is proved. It is also proved that a compact foliation is locally stable if and only if it has the Ehresmann connection and the quasianalytic holonomy pseudogroup. Applicatio...

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Published in:	Журнал математической физики, анализа, геометрии
Date:	2013
Main Author:	Zhukova, N.I.
Format:	Article
Language:	English
Published:	Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2013
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/106762
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Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	Local and Global Stability of Compact Leaves and Foliations / N.I. Zhukova // Журнал математической физики, анализа, геометрии. — 2013. — Т. 9, № 3. — С. 400-420. — Бібліогр.: 37 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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