2009/11/12 by M. Zelikin, Zelikin, M.
Mathematics · #49K10 (Primary) #49K20 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #math.AP #math.OC #msc:49K10 #msc:49K20
paper · pdf · doi:10.48550/arxiv.0911.2372
arxiv created 2010/03/10 · arxiv updated 2010/03/11
New constructions in the theory of fields for multiple integrals are designed. Generalizations 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.