|XXIX Workshop on Geometric Methods in Physics||27.06-03.07.2010|
Field theories for multiple integrals
Field Theories for Multiple Integrals
New construction in the theory of fields for multiple integrals are designed.
Generalization of the Legendre-Weyl-Caratheodory transforms and corresponding
invariant integrals are introduced and explored. Connection and curvature of
bundles induced by a field of extremals are calculated.