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On graphical foliations and the global existence of Euler´s multiplier
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Marco Kühnel
Published/Copyright:
October 19, 2010
Abstract
We present a criterion for the global existence of Euler´s multiplier for an integrable one-form taking into account the corresponding codim-1-foliation. In particular, the impact of inseparable leaves is considered. Here, we suppose that the foliation can be reduced to a graph. The properties of this graph are crucial for the global existence of the Euler´s multiplier. As applications we investigate some special cases in which the graph turns out to look very simple.
Published Online: 2010-10-19
Published in Print: 2010-10
© by Oldenbourg Wissenschaftsverlag, Freiburg, Germany
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Keywords for this article
Euler's multiplier;
foliation;
graph;
differential form;
integrating factor
Articles in the same Issue
- On graphical foliations and the global existence of Euler´s multiplier
- Holomorphic Besov spaces Bp(ω) (0 < p < 1) on the polydisc
- Holomorphic Besov spaces in the polydisc and bounded Toeplitz operators
- The Stieltjes constants, their relation to the ηj coefficients, and representation of the Hurwitz zeta function
- On a generalization of a formula of Ser and applications to the Riemann zeta function and to Dirichlet L-series
