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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Unique integrability of continuous $ k$-plane fields

Author: Patrick D. McSwiggen
Journal: Proc. Amer. Math. Soc. 123 (1995), 1951-1954
MSC: Primary 58A30
MathSciNet review: 1277128
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

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  • [2] G. Choquet, Lectures on analysis, Vol. 1, W. A. Benjamin, New York, 1969.
  • [3] Morris W. Hirsch, Differential topology, Springer-Verlag, New York-Heidelberg, 1976. Graduate Texts in Mathematics, No. 33. MR 0448362 (56 #6669)
  • [4] 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

PII: S 0002-9939(1995)1277128-8
Article copyright: © Copyright 1995 American Mathematical Society

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