Nonidentical Relations of Skew-Symmetric Forms: Generation of Closed Exterior Forms. Discrete Transitions. Connection between Field-theory Equations and Nonidentical Relations | Chapter 17 | Current Topics on Mathematics and Computer Science Vol. 7

Differential equations lead to nonidentical relations of skewsymmetric differential forms with nonintegrable deforming manifolds as their basis. Closed exterior forms are derived from nonidentical relations. The emergence of structures and observable formations such as waves, vertices, and turbulent pulsations are described by the process of attaining closed external forms. The field theory equations (by Schroedinger,