论文标题

基本的麻风病形式分为两个自变量:使用订单可还原性的概括

The fundamental Lepage form in two independent variables: a generalization using order-reducibility

论文作者

Urban, Zbyněk, Volná, Jana

论文摘要

通过坚持(i)等价关系的二维歧管的基本麻烦形式的几何变化的基本变化形式的变化歧管的二阶概括是通过坚持(i)等价关系的“ lepage差异2形式”来描述的。由给定的拉格朗日人开处方。这种方法完成了几次尝试找到相当于二阶拉格朗日(i)的麻风病,这是由于krupka和betounes而在现场理论中众所周知的。

A second-order generalization of the fundamental Lepage form of geometric calculus of variations over fibered manifolds with 2-dimensional base is described by means of insisting on (i) equivalence relation "Lepage differential 2-form is closed if and only if the associated Lagrangian is trivial" and, (ii) the principal component of Lepage form, extending the well-known Poincaré-Cartan form, preserves order prescribed by a given Lagrangian. This approach completes several attempts of finding a Lepage equivalent of a second-order Lagrangian possessing condition (i), which is well-known for first-order Lagrangians in field theory due to Krupka and Betounes.

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