Zelikin Mikhail

Field theories for multiple integrals

Field Theories for Multiple Integrals
M.I. Zelikin

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.