多重积分的域论

摘要：

设计了多重积分场论中的新结构。介绍和探讨了勒让德-外尔- Caratheodory变换和相应的不变积分的推广.计算了由极值场引起的丛的连通和曲率。

英文摘要：

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.

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