Field Theory for Multiple Integrals
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2009
- DOI:
- arXiv:
- arXiv:0911.2372
- Bibcode:
- 2009arXiv0911.2372Z
- Keywords:
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- Mathematics - Optimization and Control;
- Mathematics - Analysis of PDEs;
- 49K10 (Primary);
- 49K20 (Secondary)