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On the Borel property for solutions to systems of complex vector fields
Author(s) -
Barostichi Rafael F.,
Cordaro Paulo D.,
Petronilho Gerson
Publication year - 2013
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201200231
Subject(s) - mathematics , integrable system , pure mathematics , property (philosophy) , space (punctuation) , vector field , geometry , epistemology , philosophy , linguistics
In this work we study the Borel property for smooth solutions to systems of complex vector fields associated to locally integrable structures. Inspired by the recent article [6], in which the Borel property was studied for generic submanifolds of the complex space, we prove similar results in this more general set up. In particular we obtain, for the case of corank one structures, a necessary and sufficient condition for the validity of the Borel property.