The geometric setting of variational calculus in the presence of non-holonomic constraints is reviewed and partially enhanced. The contributions include an algebraic approach to the study of the interplay between abnormality index and ordinariness of a given curve, and a direct, fully covariant deduction of the necessary and sufficient conditions for the vanishing of the first variation of a given action functional along a piecewise differentiable curve.
Constrained Calculus of Variations: an improvement of the geometric setup / Massa, Enrico; Pagani, Enrico. - In: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. - ISSN 0926-2245. - STAMPA. - (In corso di stampa).
Constrained Calculus of Variations: an improvement of the geometric setup.
Pagani, Enrico
In corso di stampa
Abstract
The geometric setting of variational calculus in the presence of non-holonomic constraints is reviewed and partially enhanced. The contributions include an algebraic approach to the study of the interplay between abnormality index and ordinariness of a given curve, and a direct, fully covariant deduction of the necessary and sufficient conditions for the vanishing of the first variation of a given action functional along a piecewise differentiable curve.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
