Dynamical structures for k-vector fields
type: Item
instance of: scholarly article
title: Dynamical structures for k-vector fields
zbMATH Open document ID: 0655.58040
DOI: 10.1007/BF00668840
published in: International Journal of Theoretical Physics
publication date: 1988-01-01T00:00:00Z
review text: A new class of dynamical structures that generalize electrodynamics is presented. In this construction the 1-jets of solutions are represented by a class of k-vector fields that extend the notion of a Poisson structure to multivectors of degree greater than two. These objects function as tangent vectors to solutions. Although the dynamical equations are systems of partial differential equations, the formalism is very similar to mechanics.
Mathematics Subject Classification ID: 58Z05
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 58A20
zbMATH DE Number: 4069898
zbMATH Keywords: electrodynamics
zbMATH Keywords: 1-jets
zbMATH Keywords: partial differential equations
zbMATH Keywords: mechanics
author: Geoffrey Martin
MaRDI profile type: Publication
cites work: On the Geometry of the Tangent Bundle.
cites work: The Hamilton-Cartan formalism in the calculus of variations
cites work: Relation between charge and energy conservation in a nonlinear electrodynamics
cites work: Q3229841
full work available at URL: https://doi.org/10.1007/bf00668840
OpenAlex ID: W120174085
description: scientific article; zbMATH DE number 4069898