On Null Lagrangians
Copyright policy )On Null Lagrangians
Abstract We consider Lagrangians for parametric variational problems defined on velocity manifolds and show that a Lagrangian is null precisely when its shadow, a family of vector forms, is closed. We also show that a null Lagrangian can be recovered (to within a constant) from its shadow, and therefore that such a Lagrangian is (again to within a constant) a sum of determinants of total derivatives.
- University of Ostrava Czech Republic
Differential forms in global analysis, Variational methods applied to PDEs, Variational problems in a geometric measure-theoretic setting, calculus of variations, null Lagrangians, parametric problems, Jets in global analysis
Differential forms in global analysis, Variational methods applied to PDEs, Variational problems in a geometric measure-theoretic setting, calculus of variations, null Lagrangians, parametric problems, Jets in global analysis
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