Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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
HTML articles powered by AMS MathViewer

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.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 58A30
  • Retrieve articles in all journals with MSC: 58A30
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