Multivector Fields and Connections . Setting Lagrangian Equations in Field Theories

  title={Multivector Fields and Connections . Setting Lagrangian Equations in Field Theories},
  author={Arturo Echeverŕıa-Enŕıquez and Miguel C. Mu{\~n}oz-Lecanda and Narciso Rom{\'a}n-Roy},
The integrability of multivector fields in a differentiable manifold is studied. Then, given a jet bundle J1E → E → M , it is shown that integrable multivector fields in E are equivalent to integrable connections in the bundle E → M (that is, integrable jet fields in J1E). This result is applied to the particular case of multivector fields in the manifold J1E and connections in the bundle J1E → M (that is, jet fields in the repeated jet bundle J1J1E), in order to characterize integrable… CONTINUE READING
Highly Cited
This paper has 52 citations. REVIEW CITATIONS



Citations per Year

53 Citations

Semantic Scholar estimates that this publication has 53 citations based on the available data.

See our FAQ for additional information.