The geometric setting of variational calculus in the presence of non-holonomic constraints is reviewed and enhanced. The main improvement is an algebraic approach to the study of the interplay between abnormality index and ordinariness of a given curve. A revisitation of earlier results concerning the formulation of necessary and sufficient conditions for the vanishing of the first variation of a given action functional along a piecewise differentiable curve is presented. Keywords: constrained variational calculus, finite deformations, abnormality index. Mathematics Subject Classification 2010: 65K10, 53B05, 70Q05, 49J, 70D10, 58F05
Massa - Pagani - Constrained calculus of variations - An improvement of the geometric setup / Massa, Enrico; Pagani, Enrico. - In: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. - ISSN 0219-8878. - STAMPA. - (In corso di stampa), pp. 1-23.
Massa - Pagani - 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 enhanced. The main improvement is an algebraic approach to the study of the interplay between abnormality index and ordinariness of a given curve. A revisitation of earlier results concerning the formulation of necessary and sufficient conditions for the vanishing of the first variation of a given action functional along a piecewise differentiable curve is presented. Keywords: constrained variational calculus, finite deformations, abnormality index. Mathematics Subject Classification 2010: 65K10, 53B05, 70Q05, 49J, 70D10, 58F05I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
