Geometry of distributions and F-Gordon equation
1 Faculty of Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846-13114, Iran
2 Department of Basic Sciences, Eslamshahr Branch, Islamic Azad University, Eslamshahr, 3314853186, Iran
Mathematical Sciences 2012, 6:49 doi:10.1186/2251-7456-6-49Published: 9 October 2012
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 the F-Gordon equation, a PDE which appears in differential geometry and relativistic field theory.