Geometric Structures in Field Theory

Details Geometric Structures in Field Theory Geometric Structures in Field Theory

2002-08-26

arxiv.org/abs/math-ph/0208036v1

Physics

Mathematical Physics

Scientific paper

This review paper is concerned with the generalizations to field theory of the tangent and cotangent structures and bundles that play fundamental roles in the Lagrangian and Hamiltonian formulations of classical mechanics. The paper reviews, compares and constrasts the various generalizations in order to bring some unity to the field of study. The generalizations seem to fall into two categories. In one direction some have generalized the geometric structures of the bundles, arriving at the various axiomatic systems such as k-symplectic and k-tangent structures. The other direction was to fundamentally extend the bundles themselves and to then explore the natural geometry of the extensions. This latter direction gives us the multisymplectic geometry on jet and cojet bundles and n-symplectic geometry on frame bundles.

Affiliated with

Also associated with

No associations

Rating

Geometric Structures in Field Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geometric Structures in Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric Structures in Field Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-649843