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arxiv: 0908.3602 · v1 · submitted 2009-08-25 · 🧮 math.DG

Geometry of Distributions and F-Gordon equation

classification 🧮 math.DG
keywords geometrydistributionsequationgordonappearscorollariesdescribedifferential
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In this paper we describe the geometry of distributions by their symmetries, and present a simplified proof of the Frobenius theorem and some related corollaries. Then, we study the geometry of solutions of $F-$Gordon equation; A PDE which appears in differential geometry and relativistic field theory.

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