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On local equivalence for vector field systems

Published online by Cambridge University Press:  17 April 2009

P.J. Vassiliou
P.J. Vassiliou
Affiliation:
Institute for Mathematics and its Applications University of Minnesota Minneapolis, MN 55455, United States of America
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Abstract

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We give sufficient conditions for C∞ vector field systems on Rn with genus g = 1 to be diffeomorphic to a contact structure. The diffeomorphism is explicitly constructed and used to give the most general integral submanifolds for the systems. Finally the implications of these results for integrable hyperbolic partial differential equations in the plane is discussed.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 42 , Issue 2 , October 1990 , pp. 215 - 229
Copyright
Copyright © Australian Mathematical Society 1990

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