7 citations · 15 across the 6 of their papers we have counts for
3 papers · 1 filter
Geometric Constrained Variational Calculus. I. - Piecewise smooth extremals
Enrico Massa, Danilo Bruno, Gianvittorio Luria +1
A geometric setup for constrained variational calculus is presented. The analysis deals with the study of the extremals of an action functional defined on piecewise differentiable…
On the gauge structure of the calculus of variations with constraints
Danilo Bruno, Gianvittorio Luria, Enrico Pagani
A gauge-invariant formulation of constrained variational calculus, based on the introduction of the bundle of affine scalars over the configuration manifold, is presented. In the r…
Constrained variational calculus: the second variation (part I)
Enrico Massa, Danilo Bruno, Gianvittorio Luria +1
Within the geometrical framework developed in arXiv:0705.2362, the problem of minimality for constrained calculus of variations is analysed among the class of differentiable curves…