Nonlinear stability of a spatially symmetric solution of the relativistic Poisson-Vlasov equation
Classical dynamics of non-holonomic systems : a geometric approach
A new look at classical mechanics of constrained systems
Jet bundle geometry, dynamical connections, and the inverse problem of lagrangian mechanics
On the notion of Jacobi fields in constrained calculus of variations
In variational calculus, the minimality of a given functional under arbitrary deformations with fixed end-points is established through an analysis of the so called . In this paper, the argument is examined in the context of constrained variational calculus, assuming piecewise differentiable extremals, commonly referred to as . The approach relies on the existence of a fully covariant representation of the second variation of the action functional, based on a family of gauge transformations of...
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