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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Unique integrability of continuous $k$-plane fields
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by Patrick D. McSwiggen PDF
Proc. Amer. Math. Soc. 123 (1995), 1951-1954 Request permission

Abstract:

It is shown that unique integrability of a continuous k-plane field is a generic property for plane field satisfying a "topological bracket condition".
References
  • Ralph Abraham, Jerrold E. Marsden, and Tudor S. Raţiu, Manifolds, tensor analysis, and applications, Global Analysis Pure and Applied: Series B, vol. 2, Addison-Wesley Publishing Co., Reading, Mass., 1983. MR 697563
  • G. Choquet, Lectures on analysis, Vol. 1, W. A. Benjamin, New York, 1969.
  • Morris W. Hirsch, Differential topology, Graduate Texts in Mathematics, No. 33, Springer-Verlag, New York-Heidelberg, 1976. MR 0448362, DOI 10.1007/978-1-4684-9449-5
  • W. Orlicz, Zue theorie der differentialgleichung $y’ = f(x,y)$, Bull. Int. Acad. Polon. Sci. A 8/9 (1932), 221-228.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 1951-1954
  • MSC: Primary 58A30
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1277128-8
  • MathSciNet review: 1277128